Dr. Coşkun YAKAR Department of Mathematics, Applied Mathematics Faculty of Sciences, Gebze Institute of Technology Çayırova Campus, P.K. 141, 41400, Gebze, Kocaeli cyakar@gyte.edu.tr coskunyakar@hotmail.com EDUCATION Phone: + 90 262 605 13 70 / 13 70 Fax: + 90 262 653 84 90 Post-Doc, Mathematics and Computer Science, Valdosta States University, Georgia- Valdosta 2001 USA Ph.D., Applied Mathematics and Mathematical Sciences, Florida Institute of Technology, Florida- Melbourne 2000 USA MS, Mathematical Sciences and Applied Mathematics, Florida Institute of Technology, Florida- Melbourne 1997 USA BS, Mathematics, Ankara University, Ankara-Tandoğan 1993 TR HS, Mathematics-Sciences, Ankara Atatürk High School, Ankara-Sıhhıye 1988 TR EXPERIENCE Associate Professor, Department of Mathematics, Gebze Institute of Technology, 2012- Associate Professor, Department of Mathematics, Yeditepe University, 2012- Assistant Professor, Department of Mathematics, Gebze Institute of Technology, 2001-2012 Assistant Professor, Department of Mathematics, Yeditepe University, 2006-2012 Assistant Professor, Department of Mathematics, İstanbul Kultur University, 2005-2006 Assistant Professor, Department of Mathematics-Computing, Beykent University, 2003-2004 Assistant Professor, Department of Mathematics, Isık University, 2005-Summer School
Assistant Professor, Department of Mathematics and Computer Science, Valdosta State University, 2000-2001 Graduate Student Assistant, Department of Applied Mathematics, Florida Institute of Technology, 1997-2000 Teaching & Research Assistant, Department of Mathematics, Ankara University, 1993-1994 TEACHING INTERESTS Calculus, Advanced Calculus, Linear Algebra, Advanced Linear Algebra Discrete Mathematics, Engineering Mathematics Complex Analysis, Chaos and Fractals Theory of Ordinary Differential Equations, Theory of Partial Differential Equations, Boundary Value Problems Differential and Integral Inequalities MATLAB, MAPLE, SPSS Operations Research, Optimization Queuing Theory, Stochastic Processes Nonlinear Analysis for Dynamical Systems Dynamic Systems on Measure Chains Nonlinear Dynamic Systems in Abstract Spaces Fuzzy Differential Equations Fractional Differential Equations Set Differential Equations in Metric Spaces Causal Differential Equations PROFESSIONAL SKILLS Languages Turkish (native) English (fluent) Computer Skills Statistical software: SPSS Interactive mathematical software: Matlab, Maple, Mattype, Mathematica Operating systems: Windows 93, 95 & 98, XP Programming languages: Basic, Pascal, Fortran, C, Web design with HTML Networking: HTTP, FTP Other software: MS Office/Open Office, Latex, SWP, WinEdit, EXP RESEARCH INTERESTS Nonlinear Analysis
Qualitative and Quantitative Properties of Nonlinear Evolution Equations Differential Equations with Delay Stability Theory Dynamical Systems Nonlinear Differential Equations Differential and Integral Equations Quasilinearization Methods Monotone Iterative Techniques Integro-Differential Equations Variation of Parameter Lyapunov s Second Method Theory of Fractional Dynamic Systems Theory of Fuzzy Differential Equations and Inclusions Theory of Set Differential Equations in Metric Spaces Dynamic Systems on Measure Chains Nonlinear Dynamic Systems in Abstract Spaces Fractional Order Differential Equations Causal Differential Equations AWARDS AND HONOURS BS, Scholarship, The Council of Higher Education of the Republic of Turkey, 1989-1993 BS, Degree from top, Ankara University, 1993 Graduate Scholarship, Turkish Ministry of Education for the Master and Ph. D., 1994-2000 Recognition at Florida Institute of Technology as a outstanding Ph. D student, 1999-2000 Recognition at Turkish Ministry of Education as a outstanding Ph. D student, 2000. Post-Doc position, Valdosta State University, 2001 Attendance supporting for an international conference, The Scientific and Technological Research Council of Turkey (TUBITAK), Aug 2005 Attendance supporting for an international conference, The Scientific and Technological Research Council of Turkey (TUBITAK), Dec 2006 Congratulations on my inclusion in Who's Who in the World, Marquis Who's Who, 2007
Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2008 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2008 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2010 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2010 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2011 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2011 Academic and monetary encouragement reward, The Scientific and Technological Research Council of Turkey (TUBITAK), 2012 Celebration and Honor my Contributions to the field of Mathematics & Information Technology as a Who's Who in the World. Marquis Who's Who, 2012 SUBSCRIPTIONS / AFFILIATIONS The International Federation of Nonlinear Analysist Applicable Analysis Dynamics of Continuous, Discrete & Impulsive Systems Nonlinear Analysis: Theory, Methods, and Applications American Mathematical Society Nonlinear Studies (formally Nonlinear Times and Digest) Nonlinear Analysis: Real World Applications Nonlinear Analysis: Hybrid Systems and Applications Turkish Mathematical Society Mathematical Association of America European Mathematical Society Society for Industrial and Applied Mathematics
SELECTED PUBLICATIONS (The publications appears in SCI are shown with *) 1. Yakar C., Çiçek M. and Gücen M. B. Practical Stability, Boundedness Criteria and Lagrange Stability of Fuzzy Differential Systems Journal of Computers and Mathematics with Applications. 64 (2012) 2118-2127. Doi: 10.1016/j.camwa.2012.04.008. (2012). (SCI) 2. Yakar C., Çiçek M. and Gücen M. B. ''Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense.'' Advances in Difference Equations, 2011:54 doi:10.1186/1687-1847-2011-54. ISSN: 1687-1847. ADE (2011). (SCI) 3. Yakar C., Çiçek M. and Gücen M. B. " Lagrange Stability and Boundedness Criteria in Terms of Two Measures for fractional order dynamic systems in Caputo's sense with Initial Time Difference" (submitted to) Hacettepe Journal of Mathematics and Statistics HJMS (2012). (SCI) 4. Yakar C., Gücen M. B. and Çiçek M. ''Strict Stability Criteria of Fractional order Differential Equations in Caputo's Sense" (submitted to) Hacettepe Journal of Mathematics and Statistics HJMS (2012). (SCI) 5. Yakar, C., Çiçek, M. and Gücen, M. B. ''Practical Stability in Terms of Two Measures for Fractional Order Dynamic Systems in Caputo's Sense with Initial Time Difference'' (submitted to) The Journal of the Franklin Institute) (2011). (SCI) 6. Yakar, C., Gücen, M. B. and Çiçek, M. ''STRICT STABILITY CRITERIA OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS IN CAPUTO' S SENSE'' (submitted to The Journal of the Franklin Institute) (2011). (SCI) 7. Yakar, C. and Yakar, A. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations (submitted to The Journal of the Franklin Institute) (2011). (SCI)
8. Yakar, C. ''Nonlinear Variation of Parameters and an Application for Nonlinear Integrodifferential Equations with Initial Time Difference.'' Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Volume 18, Number 6 (5) Page:767-781. DCDIS (2011). (SCI) 9. Yakar, C. and Çiçek M. ''Initial Time Difference Boundedness Criteria and Lagrange Stability.'' Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Volume 18, Number 6 (7) Page:797-811. DCDIS (2011). (SCI) 10. *Yakar C. and Yakar A. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations. Hacettepe Journal of Mathematics and Statistics Volume 40 (2) (2011), 331-340 HJMS (2011). (SCI) 11. *Yakar C. and Çiçek M. Theory, Methods and Applications of Initial Time Difference Boundedness Criteria and Lagrange Stability in Terms of Two Measures for Nonlinear Systems. Hacettepe Journal of Mathematics and Statistics Volume 40 (2) (2011), 305-330 HJMS (2011). (SCI) 12. Yakar C. and Gücen M. B. Initial Time Difference Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense. Communications in Nonlinear Science and Numerical Simulation by the Springer (To appear) CNSNS (2011). 13. Yakar C., Gücen M. B. and Çiçek M. Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense in Terms of Two Measures with Initial Time Diference Communications in Nonlinear Science and Numerical Simulation by the Springer (To appear) CNSNS (2011). 14. *Yakar C., Bal B. and Yakar A. Monotone Technique in Terms of Two Monotone Functions in Finite Systems. Journal of Concrete and Applicable Mathematics. Published by Eudoxus Press, LLC. Volume 9, Number 3, Pages 233-239. July 2011 ISSN: 1548-5390 Print, 1559-176X Online JCAAM (2011) http://www.eudoxuspress.com/evolumesjcaam/jcaam--vol-9-- 2011.pdf 15. *Yakar C. and Gücen M. B. Strict Stability Criteria of Unperturbed Systems with Initial Time Difference. Journal of Concrete and Applicable Mathematics. Published by Eudoxus Press, LLC. Volume 9, Number 3, Pages 213-222. July 2011 ISSN: 1548-5390 Print, 1559-176X Online JCAAM (2011) http://www.eudoxuspress.com/evolumesjcaam/jcaam--vol-9-- 2011.pdf
16. *Yakar C. and Çiçek M. Boundedness and Lagrange Stability of Fractional order Differential Equations in Caputo s Sense with Initial Time Difference. Journal of Concrete and Applicable Mathematics. Published by Eudoxus Press, LLC. Volume 9, Number 3, Pages 223-232. July 2011 ISSN: 1548-5390 Print, 1559-176X Online JCAAM (2011) http://www.eudoxuspress.com/evolumesjcaam/jcaam--vol-9--2011.pdf 17. *Yakar C. and Yakar A. A Refinement of Quasilinearization Method for Caputo's Sense Fractional Order Differential Equations. Journal of Abstract and Applied Analysis. AAA/704367.v2 (Research Article). Vol 2. Volume 2010, Article ID 704367, 10 pages (2010). (SCI) http://www.hindawi.com/journals/aaa/2010/704367.html 18. *Yakar C. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference. Journal of Abstract and Applied Analysis. AAA/762857. Vol 3. Volume 2010, Article ID 762857, 16 pages. doi:10.1155/2010/762857 (2010). (SCI) http://www.hindawi.com/journals/aaa/2010/762857.html 19. *Yakar C. and Shaw M.D. Practical Stability in Terms of Two Measures with Initial Time Difference. Nonlinear Analysis: Theory, Methods & Applications. Page: e781-e785 Vol. 71 (2009). (SCI) http://www.sciencedirect.com/science 20. *Yakar, C. and Yakar, A. Further Generalization of Quasilinearization Method with Initial Time Difference. Journal of Applied Functional Analysis. Eudoxus Press, Llc. Issn: 1559-1948 (Print). 1559-1956 (Online). Vol. 4 No: 4, Page 714-727. (2009). (SCI) http://www.eudoxuspress.com/images/jafa-2009-vol-4-no-4.pdf 21. Yakar C., Keleş M. and S.G., Deo. Variation of Parameters Formulae for Nonlinear Integrodifferential Equations with Initial Time Difference. Accepted in Journal of Nonlinear Studies. (2009). **** 22. *Yakar C. and Shaw, M.D., Initial Time Difference Stability in Terms of Two Measures and Variational Comparison Result. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Page 417-425 Vol. 15 Number 3 (2008). (SCI) http://dcdis001.watam.org/volumes/contents2008/v15n3a.html 23. ** Yakar C., Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial Time Difference. Proceedings of the Conference on Complex Analysis and Potential Theory. World Scientific Publishing. Page: 239-248 (2007). http://www.amazon.com/complex-analysis-potential-theory-
Proceedings/dp/9812705988/ref=sr_1_2?ie=UTF8&qid=1296835523&sr=8-2#reader_9812705988 24. *Yakar, C. Boundedness Criteria in Terms of Two Measures with Initial Time Difference. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Watam Press. Waterloo. Page: 270-275. DCDIS 14 (S2) 1-305 (2007). (SCI)**** http://www.watam.org/dcdis_supp/tx06contents.pdf 25. *Yakar, C. and Yakar, A. An Extension of the Quasilinearization Method with Initial Time Difference. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Watam Press. Waterloo. Page: 275-279. DCDIS 14 (S2) 1-305 (2007). (SCI)**** http://www.watam.org/dcdis_supp/tx06contents.pdf 26. **Yakar C., Variation-of-parameters formulae and Lipschitz stability criteria for nonlinear matrix differential equations with initial time difference. Proceedings of the Conference on Differential & Difference Equations and Applications. Hindawi Publishing Corporation. Page: 1201-1216 (2006).***** http://downloads.hindawi.com/books/9789775945389/art121.pdf 27. *Yakar, C. and S.G., Deo. Variation of Parameters Formulae with Initial Time Difference for Linear Integrodifferential Equations. Journal of Applicable Analysis. Taylor & Francis. 333-343, Vol. 85, No. 4, (2006). (SCI) http://www.informaworld.com/smpp/content~db=all~content=a741508240~frm=titlelink?words =yakar,deo 28. **Yakar C. and Sırma A., Monotone technique for nonlinear second-order periodic boundary value problem in terms of two monotone functions. Proceedings of the Conference on Differential & Difference Equations and Applications. Hindawi Publishing Corporation. Page: 1217-1230 (2006). **** http://downloads.hindawi.com/books/9789775945389/art122.pdf 29. *Yakar C. and M.D Shaw, A Comparison Result and Lyapunov Stability Criteria with Initial Time Difference. Dynamics of Continuous, Discrete and Impulsive Systems. A: Mathematical Analysis. Volume 12, Number 6 2005 (731-741). (SCI) http://monotone.uwaterloo.ca/~journal/volumes/v12n6a3.pdf 30. *Köksal, S. and Yakar, C., Generalized quasilinearization method with initial time difference, Simulation, an International Journal of Electrical, Electronic and other Physical Systems, 24(5), 2002. 31. *Shaw, M.D. and Yakar, C., Stability criteria and slowly growing motions with initial time difference. International Journal of Problems of Nonlinear Analysis in Engineering
Systems. Volume 6, Issue 1(11) 2000. (50-66). Kazan University Press. ISSN: 1727-687X http://www.kcn.ru/tat_en/science/ans/journals/ansj_cnt/00_1_5.html 32. Yakar, C. Stability Analysis of Nonlinear Differential Systems with Initial Time Difference. Ph.D. Dissertation, Department of Mathematical Sciences College of Sciences and Liberal Arts Florida Institute of Technology. Melbourne, FL 32901. USA (December 2000). 33. *Shaw, M.D. and Yakar C., Generalized variation of parameters with initial time difference and a comparison result in terms of Lyapunov-like functions. International Journal of Nonlinear Differential Equations Theory-Methods and Applications. Volume 5, Numbers 1&2, Jan- Dec. 1999. (86-108). Article in Progress 1. Yakar, C., Deo, S.G. and Kasture, D.Y. Variation of Parameters Formulas for Nonlinear Hyperbolic Partial Differential Equations. Submitted to Journal of Applicable Analysis. 2. Yakar, C. and Koksal, S., Monotone Iterative Techniques for Nonlinear Problems in Term of Two Monotone Functions with Initial Time Difference (in progress). 3. Yakar C. and Yakar A. A Refinement of the Quasilinearization Method for Fractional Differential Equations. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. (03/09/09) National Conferences 1. ***Yakar C., Çiçek M. and Gücen M. B. " Lagrange Stability and Boundedness Criteria in Terms of Two Measures for fractional order dynamic systems in Caputo's sense with Initial Time Difference" VI. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. Hacettepe Üniversitesi Matematik Bölümü, Beykent, Ankara, Turkey 02-03 Haziran 2011. 2. ***Yakar C., Gücen M. B. and Çiçek M. ''Strict Stability Criteria of Fractional order Differential Equations in Caputo's Sense" VI. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. Hacettepe Üniversitesi Matematik Bölümü, Beykent, Ankara, Turkey 02-03 Haziran 2011. 3. ***Yakar C., Gücen M. B. and Çiçek M. Lineer Olmayan Diferansiyel Denklemler için Başlangıç Zaman Farklı Sınrlılık ve Lagrange Stabilite Kriteri ( Boundedness and Lagrange Stability Criteria of Unperturbed systems for Nonlinear Diffeential Equations with Initial Time Difference ) XXIII.
Ulusal Matematik Sempozyumu. UMS23 Erciyes Universitesi. Kayseri, Türkiye. Ağustos 04-07, 2010. 4. ***Yakar C. and Yakar A. Fraksiyonel Diferansiyel Denklemler için Başlangıç Zaman Farklı Monoton İteratif Teknik. ( Initial Time Difference Monotone Iterative Technique for Fractional Differential Equations ) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010. 5. ***Yakar C. and Çiçek M. İki Ölçü Cinsinden Başlangıç Zaman Farklı Sınırlılık ve Lagrange Kararlılığı. ( Initial Time Difference Boundedness and Lagrange Stability in Terms of Two Measures ) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010. 6. ***Yakar C. and Gücen M. B. Pertörb Olmayan Sistemlerin Başlangıç Zaman Farklı İki Ölçü Cinsinden Kesin Kararlılık Kriterleri. ( Initial Time Difference Strict Stability of Unperturbed Systems in Terms of Two Measures ) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010. 7. ***Yakar C. İki Ölçü Cinsinden Başlangıç Zaman Farklı Uygulamalı Stabilite. ( Initial Time Difference Practical Stability in Terms of Two Measures ) XXI. Ulusal Matematik Sempozyumu. Koç Üniversitesi-Matematik Bölümü ve Türk Matematik Derneği. İstanbul, Turkey. 1-4 Eylül 2008. 8. Yakar, C. Diferansiyel Denklemler Çalıştayı (Attendance of Workshop on Differential Equations at) Yeditepe University Department of Mathematics ISTANBUL, TURKEY by Okay ÇELEBİ. June 19 21, 2008. 9. Yakar, C. Fraksiyonel Diferansiyel Denklemler ve Uygulaması. (Attendance of a conference on Fractional Differential Equations and its Application) by V. Lakshmikantham at Gebze Institute of Technology Department of Mathematics ISTANBUL, TURKEY. Friday, May 09, 2008. 10. International Conferences 1. Yakar, C., Çiçek, M. and Gücen, M. B. ''Practical Stability in Terms of Two Measures for Fractional Order Dynamic Systems in Caputo's Sense with Initial Time Difference'' International Conference on Applied Analysis and Algebra (ICAAA 2011) Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey.
2. Yakar, C., Gücen, M. B. and Çiçek, M. ''STRICT STABILITY CRITERIA OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS IN CAPUTO' S SENSE'' International Conference on Applied Analysis and Algebra (ICAAA 2011) Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey. 3. Yakar, C. and Yakar, A. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations International Conference on Applied Analysis and Algebra (ICAAA 2011) Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey. 4. **Yakar, C. and Çiçek M. Boundedness and Lagrange Stability of Fractional order Differential Equations in Caputo s sense with Initial Time Difference. Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010. 5. **Yakar, C. and Gücen M.B. Strict Stability Criteria of Unperturbed Systems with Initial Time Difference. Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010. 6. **Yakar C., Bal B. and Yakar A. Monotone Technique in Terms of Two Monotone Functions in Finite Systems. Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010. 7. Yakar C. and Gücen M. B. Initial Time Difference Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense. Conference on New Trends in Nanotechnology and Nonlinear Dynamical Systems. NTNDS10 at Çankaya University Department of Mathematics. Ankara, Turkey. 25-27 July, 2010. 8. Yakar C., Gücen M. B. and Çiçek M. Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense in Terms of Two Measures with Initial Time Diference Conference on New Trends in Nanotechnology and Nonlinear Dynamical Systems. NTNDS10 at Çankaya University Department of Mathematics. Ankara, Turkey. 25-27 July, 2010. 9. Yakar, C. Fractional Differential Equations in term of Comparison Results and Lyapunov Stability with Initial Time Difference. International Conference of Mathematical Sciences
(ICMS) at Maltepe University Department of Mathematics by Hüseyin ÇAKALLI. Maltepe, İstanbul, Turkey. August 4-10, 2009. 10. **Yakar, C. and Yakar, A. Further Generalization of Quasilinearization Method with Initial Time Difference. Second International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2008 Istanbul Kültür University Department of Mathematics. ISTANBUL, TURKEY. May 07-10, 2008. 11. **Yakar, C. Boundedness Criteria in Terms of Two Measures with Initial Time Difference. Fifth International Conference on Differential Equations and Dynamical Systems. December 16-18, 2006. Department of Mathematics University of Texas- Pan American. Edinburg, Texas 78541, USA. 12. **Yakar, C. and Yakar, A. An Extension of the Quasilinearization Method with Initial Time Difference. Fifth International Conference on Differential Equations and Dynamical Systems. December 16-18, 2006. Department of Mathematics University of Texas- Pan American. Edinburg, Texas 78541, USA. 13. **Yakar C., Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial Time Difference. International Conference on Complex Analysis and Potential Theory. Satellite to the International Congress of Mathematicians September 8-14, 2006. 14. **Yakar C., Attendance of International Conference on Complex Analysis and Potential Theory. Satellite to the International Congress of Mathematicians at Gebze Institute of Technology Department of Mathematics by Tahir Aliyev Azeroğlu and Promarz M. Tamrazov, September 8-14, 2006. 15. **Yakar, C., Lipschitz Stability Criteria with Initial Time Difference for Matrix Differential Equations. Conference on Differential & Difference Equations and Applications. 1-5 August 2005, Department of Applied Mathematics. College of Sciences and Liberal Arts, Florida Institute of Technology, Melbourne, FL 32901. 16. **Yakar, C. and Sırma, A., Monotone Technique for Nonlinear Second Order Periodic Boundary Value Problems in Terms of Two Monotone Functions. Conference on Differential & Difference Equations and Applications.1-5 August 2005. 17. **Yakar, C. Attendance of a Conference on Differential & Difference Equations and Applications. Department of Applied Mathematics. College of Sciences and Liberal Arts by R. G. Agarwal, Florida Institute of Technology, Melbourne, FL 32901. 1-5 August 2005.
Thesis Ph.D. Dissertation, Stability Analysis of Nonlinear Differential Systems with Initial Time Difference MS BS & MS & Ph.D. GRADUATED STUDENTS Ph. D. Students 1. Ali YAKAR Method of Quasilinearization for Fractional order Differential Equations (2010) 2. Mehmet Emir KÖKSAL Two-Step Difference Schemes for Hyperbolic Differential Equations (2009) 3. Ali Sırma Nonlocal Boundary Value Problems for Schrödinger Equations (2007) MS Students 1) *Gücen M. B. Stability Criteria and Strict Stability of Nonlinear Dynamic Systems (2011) 2) *Çiçek M. Boundedness and Lagrange Stability Criteria in Terms of Two Measures with Initial Time Difference (2010) 3) *Cavlak Y. Total Stability Criteria of Dynamical Systems. (06/10/2010-) 4) *Erbaş P. Lipschitz Stability Criteria of Perturbed Systems with respect to Unperturbed Systems. (06/10/2010-) 5) *Metin U. Lyapunov Stability, Lagrange Stability and Initial Time Difference Boundedness in terms of Two measures for Cauchy Problem. (July 15, 2009) (İÜ) 6) *Keleş M., Variation of Parameters Formulae for Integro Differential Equation and its Applicaions. (2009) 7) *Karataş D., Monotone Iterative Technique for Nonlinear Cauchy Problem by using Difference Equations. (2006) 8) *Arslan M., Monotone Iterative Technique for Terminal Value Problems. (2005)
9) *Sırma A., Monotone Iterative Technique for Periodic Boundary Value Problems. (2005) 10) *Yörük Ö, Lipschitz Stability Criteria with Initial Time Difference for Matrix Differential Equations. (2004) 11) *Yakar A., Quasilinearization Method for Nonlinear Differential Equations in terms of Initial Time Difference. (2004) 12) *Dağıdır F., Nonlinear Variation of Parameters and Monotone Iterative Techniques for Hyperbolic Equations. (2004) 13) *Bal B., Monotone Iterative Technique in terms of two Monotone Functions in Finite Systems. (2003) Graduation Projects (Undergraduate Students) 1) Aşan C., Existence and Uniqueness of Cauchy Problem and Monotone Method. (2005-2006 Spring) (15/06/06) 2) Kızılaslan, F., The Method of Variation of Parameters for Integro Differential Equations and its Applications. (2006-2007 Spring) (15/06/07) 3) Yavuz, T., Dynamic Equations on Time Scales and its Applications. (2006-2007 Spring) (15/06/07) 4) Akğüneş, S., Variation of Parameters Formulae and Practical Stability Criteria for Nonlinear Differential Equations. (2006-2007 Spring) (15/06/07) 5) Baltacı, Ö., Abstract Differential Equations and its Applications. (2006-2007 Spring) (15/06/07) 6) Temiz, E., Qualitative Techniques for Ordinary Differential Equations and its Applications. (2006-2007 Spring) ) (15/06/07)
7) Yıldız, A., Stochastic Differential Equations and its Applications. (2006-2007 Spring) (15/06/07) 8) Hacıoğlu, T., Fourier Integrals and Boundary Value Problems. (2006-2007 Spring) (15/06/07) 9) Kara, Y., Introduction to Nonlinear Differential Equations in Abstract Spaces. (2007-2008 Spring) (20/06/08) 10) Sara, E., Variation of Parameters Formulae for Delay Differential Equations. (2007-2008 Spring) (20/06/08) 11) Aynur, F., Variation of Parameters, Comparison Results, Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Nonlinear Hyperbolic Initial Boundary Value Problems. (2007-2008 Spring) (20/06/08) 12) Öztürk, H., Lyapunov stability criteria for linear and nonlinear system of differential equations and its applications. (2007-2008 Spring) (20/06/08) 13) İştar, T., Impulsive Differential Equations and its Applications. (2007-2008 Spring) (20/06/08) 14) Darcan, B., Basic Theory of Integro-differential Equations. (2007-2008 Spring) (20/06/08) 15) Gülbar, A., Orthagonal Polynonials and their Properties, Fourier Series. (2007-2008 Spring) (20/06/08) 16) Erbil, S., Linear İntegro Differential Equations. (2007-2008 Spring) (20/06/08) 17) Köse, H., Nonlinear Models and Nonlinear Phenomena. (2007-2008 Spring) (20/06/08) 18) Karabudak, O., Nonlinear Models and its Applications. (2007-2008 Spring) (20/06/08)
19) Erkek, F. B., Variation of Parameters Formulae and Lipschitz Stability Criteria. (2007-2008 Spring) (20/06/08) 20) Çakır Aşan, İ., Monotone Iterative Technique and the Method of Generalized Quasilinearization for Nonlinear Eliptic Boundary Value Problems. (2007-2008 Spring) (20/06/08) 21) Topçu, İ., Stability of Perturbed Systems. (2007-2008 Spring) (20/06/08) 22) Er, N., Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Parabolic Initial Boundary Value Problems. (2007-2008 Spring) (20/06/08) 23) Araz, N., Methods of Variation of Parameters for Linear and Nonlinear Integrodifferential Equations and its Applications. (2007-2008 Spring) (20/06/08) 24) Aslan, A., Integral Equations in Banach Spaces and its Applications. (2007-2008 Spring) (20/06/08) 25) Gücen, M. B., Fractional Derivative and Mean Value Theorems of Fractional Analysis. (2008-2009 Fall) (15/01/09) 26) Gürses, F., Theory and Applications of Fractional Calculus. (2008-2009 Fall) (15/01/09) 27) Kaya, O., Lyapunov Stability for Integro-differential equations and its Applications. (2008-2009 Fall) (06/02/09) 28) Ulubay, M., Linear Analysis for Integro-differential equations and its Applications. (2008-2009 Fall) (06/02/09) 29) Taşkıran, Ö. Generalized Quasilinearization Method in Terms of Sum of Three Different Functions related to Initial Time Difference. (2009-2010 Fall) (15/01/2010)
30) Uzun, G. Quasilinearization Method related to Initial Time Difference and Semiquadratic Convergence. (2009-2010 Fall) (15/01/2010) 31) Yaşaroğlu, H. Fractional Differential Equations and Its Applications (2009-2010 Fall) (12/02/2010) 32) Güngördü, H. Properties of Fractional Differential Equations and Applications (2009-2010 Fall) (12/02/2010) 33) Suçağlar, H. Some of the Existence and Uniqueness Theorems of Fractional Differential Equations (2009-2010 Fall) (12/02/2010) 34) Yıldız, H. Financial Derivatives (2009-2010 Yaz)(31/05/2010) 35) Çeçe, M. Fundamental Properties of Dynamical Systems on Time Scales (2010-2011 Güz (21/01/2011) 36) Oğuz, E. Introduction to the Method of Quasilinearization (2010-2011 Güz) 37) Peştireli, Y. K. " Fourier Series, Convergence and its Applications." (2012-2013 Güz- ) COURSES TAUGHT Undergraduate Courses at Gebze Institute of Technology Mathematical Analysis I, III, IV. Engineering Mathematics I, Engineering Mathematics II, Engineering Mathematics III, Engineering Mathematics IV (Calculus I, II, III, IV). Differential Equations I, Differential Equations II. Partial Differential Equations. Applied Partial Differential Equations. Quasilinearization Methods. Monotone Iterative Techniques
Integral Equations. Functional Analysis Undergraduate Courses at the Other Universities Complex Analysis at Beykent University Discrete Mathematics at Yeditepe University Discrete Mathematics at Beykent University Linear Algebra at Işık University Chaos and Fractals at Beykent University Linear Algebra at Yeditepe University Engineering Mathematics (Calculus I, II, III, IV) at Kültür University Fourier Analysis at Yeditepe University Introduction to Mathematical Analysis at Yeditepe University Economics Mathematics (Calculus for Economics I, II) at Yeditepe University Engineering Mathematics II (Calculus II) at Yeditepe University Master of Science Courses Theory of Differential Equations I. Linear Differential Equations. Integral Equations. Doctorate Courses Theory of Differential Equations II. Advanced Partial Differential Equations. Nonlinear Analysis for Dynamical Systems. Theory of Fuzzy Differential Equations. Theory of Fractional Differential Equations. Theory of Causal Differential Equations.
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