Dr. Coşkun YAKAR. Department of Mathematics, Applied Mathematics. Faculty of Sciences, Gebze Institute of Technology

Transcription

1 Dr. Coşkun YAKAR Department of Mathematics, Applied Mathematics Faculty of Sciences, Gebze Institute of Technology Çayırova Campus, P.K. 141, 41400, Gebze, Kocaeli EDUCATION Phone: / Fax: 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, Associate Professor, Department of Mathematics, Yeditepe University, Assistant Professor, Department of Mathematics, Gebze Institute of Technology, Assistant Professor, Department of Mathematics, Yeditepe University, Assistant Professor, Department of Mathematics, İstanbul Kultur University, Assistant Professor, Department of Mathematics-Computing, Beykent University, Assistant Professor, Department of Mathematics, Isık University, 2005-Summer School

2 Assistant Professor, Department of Mathematics and Computer Science, Valdosta State University, Graduate Student Assistant, Department of Applied Mathematics, Florida Institute of Technology, Teaching & Research Assistant, Department of Mathematics, Ankara University, 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

3 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, BS, Degree from top, Ankara University, 1993 Graduate Scholarship, Turkish Ministry of Education for the Master and Ph. D., Recognition at Florida Institute of Technology as a outstanding Ph. D student, Recognition at Turkish Ministry of Education as a outstanding Ph. D student, 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

4 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

5 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) Doi: /j.camwa (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: / ISSN: 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)

6 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: 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: 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), 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), 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 July 2011 ISSN: Print, X Online JCAAM (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 July 2011 ISSN: Print, X Online JCAAM (2011) pdf

7 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 July 2011 ISSN: Print, X Online JCAAM (2011) *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/ v2 (Research Article). Vol 2. Volume 2010, Article ID , 10 pages (2010). (SCI) *Yakar C. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference. Journal of Abstract and Applied Analysis. AAA/ Vol 3. Volume 2010, Article ID , 16 pages. doi: /2010/ (2010). (SCI) *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) *Yakar, C. and Yakar, A. Further Generalization of Quasilinearization Method with Initial Time Difference. Journal of Applied Functional Analysis. Eudoxus Press, Llc. Issn: (Print) (Online). Vol. 4 No: 4, Page (2009). (SCI) 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 Vol. 15 Number 3 (2008). (SCI) ** 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: (2007).

8 Proceedings/dp/ /ref=sr_1_2?ie=UTF8&qid= &sr=8-2#reader_ *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: DCDIS 14 (S2) (2007). (SCI)**** *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: DCDIS 14 (S2) (2007). (SCI)**** **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: (2006).***** *Yakar, C. and S.G., Deo. Variation of Parameters Formulae with Initial Time Difference for Linear Integrodifferential Equations. Journal of Applicable Analysis. Taylor & Francis , Vol. 85, No. 4, (2006). (SCI) =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: (2006). **** *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 ( ). (SCI) *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), *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

9 Systems. Volume 6, Issue 1(11) (50-66). Kazan University Press. ISSN: X 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 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 (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 Haziran ***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 Haziran ***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.

10 Ulusal Matematik Sempozyumu. UMS23 Erciyes Universitesi. Kayseri, Türkiye. Ağustos 04-07, ***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 ***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 ***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 ***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 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, 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, 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 June and 1-2 July 2011 Istanbul, Turkey.

11 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 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 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, **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, **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, 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 July, 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 July, Yakar, C. Fractional Differential Equations in term of Comparison Results and Lyapunov Stability with Initial Time Difference. International Conference of Mathematical Sciences

12 (ICMS) at Maltepe University Department of Mathematics by Hüseyin ÇAKALLI. Maltepe, İstanbul, Turkey. August 4-10, **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, **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, 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, 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, **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, **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 **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 **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 August 2005.

13 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)

14 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. ( Spring) (15/06/06) 2) Kızılaslan, F., The Method of Variation of Parameters for Integro Differential Equations and its Applications. ( Spring) (15/06/07) 3) Yavuz, T., Dynamic Equations on Time Scales and its Applications. ( Spring) (15/06/07) 4) Akğüneş, S., Variation of Parameters Formulae and Practical Stability Criteria for Nonlinear Differential Equations. ( Spring) (15/06/07) 5) Baltacı, Ö., Abstract Differential Equations and its Applications. ( Spring) (15/06/07) 6) Temiz, E., Qualitative Techniques for Ordinary Differential Equations and its Applications. ( Spring) ) (15/06/07)

15 7) Yıldız, A., Stochastic Differential Equations and its Applications. ( Spring) (15/06/07) 8) Hacıoğlu, T., Fourier Integrals and Boundary Value Problems. ( Spring) (15/06/07) 9) Kara, Y., Introduction to Nonlinear Differential Equations in Abstract Spaces. ( Spring) (20/06/08) 10) Sara, E., Variation of Parameters Formulae for Delay Differential Equations. ( 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. ( Spring) (20/06/08) 12) Öztürk, H., Lyapunov stability criteria for linear and nonlinear system of differential equations and its applications. ( Spring) (20/06/08) 13) İştar, T., Impulsive Differential Equations and its Applications. ( Spring) (20/06/08) 14) Darcan, B., Basic Theory of Integro-differential Equations. ( Spring) (20/06/08) 15) Gülbar, A., Orthagonal Polynonials and their Properties, Fourier Series. ( Spring) (20/06/08) 16) Erbil, S., Linear İntegro Differential Equations. ( Spring) (20/06/08) 17) Köse, H., Nonlinear Models and Nonlinear Phenomena. ( Spring) (20/06/08) 18) Karabudak, O., Nonlinear Models and its Applications. ( Spring) (20/06/08)

16 19) Erkek, F. B., Variation of Parameters Formulae and Lipschitz Stability Criteria. ( Spring) (20/06/08) 20) Çakır Aşan, İ., Monotone Iterative Technique and the Method of Generalized Quasilinearization for Nonlinear Eliptic Boundary Value Problems. ( Spring) (20/06/08) 21) Topçu, İ., Stability of Perturbed Systems. ( Spring) (20/06/08) 22) Er, N., Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Parabolic Initial Boundary Value Problems. ( Spring) (20/06/08) 23) Araz, N., Methods of Variation of Parameters for Linear and Nonlinear Integrodifferential Equations and its Applications. ( Spring) (20/06/08) 24) Aslan, A., Integral Equations in Banach Spaces and its Applications. ( Spring) (20/06/08) 25) Gücen, M. B., Fractional Derivative and Mean Value Theorems of Fractional Analysis. ( Fall) (15/01/09) 26) Gürses, F., Theory and Applications of Fractional Calculus. ( Fall) (15/01/09) 27) Kaya, O., Lyapunov Stability for Integro-differential equations and its Applications. ( Fall) (06/02/09) 28) Ulubay, M., Linear Analysis for Integro-differential equations and its Applications. ( Fall) (06/02/09) 29) Taşkıran, Ö. Generalized Quasilinearization Method in Terms of Sum of Three Different Functions related to Initial Time Difference. ( Fall) (15/01/2010)

17 30) Uzun, G. Quasilinearization Method related to Initial Time Difference and Semiquadratic Convergence. ( Fall) (15/01/2010) 31) Yaşaroğlu, H. Fractional Differential Equations and Its Applications ( Fall) (12/02/2010) 32) Güngördü, H. Properties of Fractional Differential Equations and Applications ( Fall) (12/02/2010) 33) Suçağlar, H. Some of the Existence and Uniqueness Theorems of Fractional Differential Equations ( Fall) (12/02/2010) 34) Yıldız, H. Financial Derivatives ( Yaz)(31/05/2010) 35) Çeçe, M. Fundamental Properties of Dynamical Systems on Time Scales ( Güz (21/01/2011) 36) Oğuz, E. Introduction to the Method of Quasilinearization ( Güz) 37) Peştireli, Y. K. " Fourier Series, Convergence and its Applications." ( 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

18 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.

19 HOBBIES Football, Internet, Driving, Diving, Riding, Reading, Cycling