Teaching

Courses

• Measure Theory(MATH 314)
• Functional Analysis(MATH 301)
• Advanced Linear Algebra and Optimization (MATH 666)

Previous Courses

• Calculus I-II.
• Functional Analysis I-II.
• Optimization I. (MATH 305)
• Topology I-II.
• Advanced Mathematical Analysis
• Introduction to Spectral Theory I-II.
• Advanced Linear Algebra and Optimization
• Research Project (MATH 398)

Office Hours

• Tuesday 14:30-17:30;
• By appointment via e-mail.

Education

• PostDoc., Mathematics, Missouri University of Science & Technology, 2004
• Ph.D., Mathematics, Ankara University, 2003
• M.S., Mathematics, Ankara University, 1998
• B.S., Mathematics, Ankara University,1996

Research Areas

• Functional Analysis
  
• Spectral Analysis
  
• Scattering Data Theory
  
• Difference Equations
  
• Differential Equations
  
• Integral Equations
• Time Scale Theory
• Optimization
• Stability

Publications

• Adıvar, M., A new periodicity concept for time scales, Mathematica Slovaca (Springer Journals), To appear, 2013.
• Adıvar, M. and Raffoul, N. Y., Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations, Rendiconti del Circolo Matematico di Palermo, (Springer Journals), To appear, 2013.
• Adıvar, M. and Raffoul, N. Y., Necessary and sufficient conditions for uniform stability of Volterra integro-dynamic equations using new resolvent equation, Analele Stiintifice Ale Universitatii "Ovidius" Constanta, To appear, 2012.
• Adıvar, M. and Fang, S. C., Convex optimization on mixed domains, Journal of Industrial and Management Optimization, (American Institute of Mathematical Sciences Journals), 8(1), 189-227, 2012.
• Adıvar, M., Raffoul, Y. N., and Islam, M. N., Separate contraction and existence of periodic solutions in totally nonlinear delay differential equations, Hacettepe Journal of Mathematics and Statistics, Vol. 41(1), 1-13, 2012.
• Adıvar, M. and Bohner, E. A., Halanay type inequalities on time scales with applications, Nonlinear Analysis: Theory, Methods & Applications (Elsevier Journals), Volume 74, Issue 18, December 2011, Pages 7519-7531.
• Adıvar, M. and Raffoul, N. Y., Inequalities and Exponential Decay In Time Varying Delay Differential Equations, Mathematical and Computer Modelling (Elsevier Journals), Volume 54, Issues 1-2, July 2011, Pages 794-802.
• Adıvar, M. and Raffoul, N. Y., Shift operators and stability in delayed dynamic equations, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 68, 4 (2010), 369 – 396.
• Adıvar, M., Principal matrix solutions and variation of parameters for Volterra integro-dynamic equations on time scales, Glasgow Mathematical Journal (Cambridge Journals), 53 (2011) 463–480.
• Adıvar, M., Quadratic pencil of difference equations: Jost Solutions, spectrum, and principal vectors, Quaestiones Mathematicae (Taylor & Francis Journals), 2010, Volume 33, Issue 3 November 2010 , pages 305 – 323
• Adıvar, M., Function Bounds for Solutions of Volterra Integro Dynamic Equations on Time Scales, E. J. Qualitative Theory of Diff. Equ., No. 7. (2010), pp. 1-22.
• Adıvar, M. and Raffoul, A note on "Stability and periodicity in dynamic delay equations", Computers and Mathematics with Applications, Volume: 59 Issue: 10 Pages: 3351-3354 Published: MAY 2010
• Adıvar, M. and Raffoul, N. Y., Existence of resolvent for Volterra integral equations on time scales, Bulletin of the Australian Mathematical Society (Cambridge Journals), Volume: 82 Issue: 1 Pages: 139-155 Published: AUG 2010
• Adıvar, M. and Akbulut, A., Non-selfadjoint boundary value problem with discontinuous density function, Mathematical Methods in the Applied Sciences, (Wiley Journals) Volume: 33 Issue: 11 Pages: 1306-1316 Published: JUL 30 2010
• Adıvar, M. and Raffoul, N. Y., Existence of periodic solutions in totally nonlinear delay dynamic equations , E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 1., pp. 1-20.
• Adıvar, M. and Raffoul, N. Y., Stability and periodicity in dynamic delay equations, Computers and Mathematics with Applications (Elsevier Journals), 58 (2), 2009, 264-272
• Adıvar, M. and Raffoul, N. Y., Existence results for periodic solutions of integro-dynamic equations on time scales, Annali di Matematica Pura ed Applicata (Springer Journals), 188 (4), 2009, 543-559
• Adıvar, M. and Bohner, M., Spectrum and Principal vectors of $q$-difference Equations, Indian Journal of Mathematics, Vol 48, pp 17-33, 2006.
• Adıvar, M. and Bohner, M., Spectral Analysis of $q$-difference Equations with Spectral Singularities, Mathematical and Computer Modelling (Elsevier Journals), 43, 695-703, 2006.
• Akbulut, A., Adıvar, M. and Bairamov, E., On the spectrum of the difference equations of second order, Journal of Publicationes Mathematicae Debrecen 67, 253-263, 2005.
• Adıvar, M. and Bairamov, E., Difference Equations of Second Order with Spectral Singularities, Journal of Mathematical Analysis and Applications (Elsevier Journals), Vol. 277 (2003), 714-721.
• Adıvar, M. and Bairamov, E., Spectral Singularities of the Nonhomogeneous Sturm-Liouville Equations, Applied Mathematics Letters (Elsevier Journals), Vol. 15 (2002), 825-832.
• Adıvar, M. and Bairamov, E., Spectral Properties of Non-Selfadjoint Difference Operators, Journal of Mathematical Analysis and Applications (Elsevier Journals), Vol. 261 (2001), 461-478.
• Yaylı, Y. and Adıvar, M., Perplex Numbers and Applications to Lorentzian Geometry, Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 12 (4) 971-976, 1999.

Seminars & Conference Talks

• Adıvar, M. Convex Optimization on Time Scales, The Second World Congress on Global Optimization, July 3-7, 2011 Chania, Greece
• Adıvar, M. Exponential stability and instability in delay dynamic equations using Lyapunov functionals, University of Dayton Department of Mathematics Collogium August 31, 2010, Dayton OH, USA
• Adıvar, M. Shift Operators and Stability in Delayed Dynamic Equations, Fourth International Conference on Neural, Parallel & Scientific ComputationsAugust 11-14, 2010 Morehouse College Atlanta, Georgia, USA
• Adıvar, M. Gecikmeli diferensiyel denklemlerin çözümleri için üstel azalma ve eşitsizlikler, 5. Ankara Matematik Günleri Semineri, 3-4 Haziran 2010 Ankara
• Adıvar, M. Principal matrix solutions and variation of parameters for Volterra integro-dynamic equations on time scales, 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications at the Technical University of Dresden, Germany, May 25--28, 2010
• Adıvar, M. Function Bounds for Solutions of Volterra Integro Dynamic Equations on Time Scales University of Dayton Department of Mathematics Collogium September 10, 2009, Dayton OH, USA
• Adıvar, M. Function Bounds for Solutions of Volterra Integro Dynamic Equations on Time Scales The IMACS World Congress Computational and Applied Mathematics & Applications in Science and Engineering, August 3-5, 2009, Georgia, Athens, USA
• Adıvar, M. Extreme values of the functions on time scales, ISE North Carolina State University, NC, USA , August, 7 2009
• Adıvar, M. Mathematical Programming and Time Scales The First World Congress on Global Optimization in Engineering & Science (WCGO2009), 1-5 June 2009, Hunan University and Zhangjiajie, Hunan, China
• Adıvar, M. An extension of Gronwall's inequality on time scales and its applications IX. Dinamik Sistemler Çalıştayı, Izmir Universitesi, 18-19 Haziran, 2009, Izmir
• Adıvar, M. Large contraction and its applications to totally nonlinear delay differential equations Workshop on Dynamic Equations and Applications, IUE, August 08, 2008, Izmir, Turkey
• Adıvar, M. Stability and periodicity in dynamic delay equations WCNA 2008, July 2-9, 2008, Orlando, Florida, USA
• Adıvar, M. Periodicity in nonlinear system of dynamic equations, 14 th International Conference on Difference Equations and Applications (ICDEA2008), , July 21-25, 2008, İstanbul, Turkey
• Adıvar, M. Periyodik zaman skalaları üzerinde lineer olmayan denklemler sisteminin periyodik çözümleri,3. Ankara Matematik Günleri Sempozyumu, 22-23 Mayıs 2008, Ankara
• Adıvar, M. Existence results for periodic solutions of integro-dynamic equations on time scales, Colloquium, January 31, 2008, University of Dayton, Department of Mathematics, OH, USA
• Adıvar, M. A general approach to the spectral analysis of Schrodinger-type difference equations, Conference in Honour of Professor Allan Peterson, 28 th July-2 nd August 2007 Monastery of Novacella, Varna, Italy
• Adıvar, M. Non-selfadjoint q-difference operators and their spectral properties, XIX. Ulusal Matematik Sempozyumu, 22-25 Ağustos 2006, Dumlupınar Üniversitesi, Kütahya.
• Adıvar, M. and Bohner, M. Spectral analysis of q-difference equations with spectral singularities, International Conference: 2004 - Dynamical Systems and Applications, July 5-10, 2004, Antalya, Turkey
• Adıvar, M., Spectral analysis of $q$-difference equations with spectral singularities of second order, University of Missouri-Rolla Department of Mathematics and Statistics Seminars, May 5, 2004, Rolla MO, U.S.A.
• Adıvar, M., Spectral analysis of non-selfadjoint $q$-difference equations of second order with spectral singularities, 996th American Mathematical Society Meeting at University of Southern California, April 2004, Los Angeles CA, U.S.A.
• Adıvar, M., Spectral properties of non-selfadjoint $q$-difference equations,San Diego State University Department of Mathematics and Statistics Seminars, April 1, 2004, San Diego CA, U.S.A.
• Adıvar, M., Spectral analysis of non-selfadjoint discerete operators of second order, University of Missouri-Rolla Department of Mathematics and Statistics Seminars, February 18, 2004, Rolla MO, U.S.A.
• Yaylı, Y. Hacısalihoğlu, H. H. and Adıvar, M. E_4^2 de Homotetik Hareket, XI. Ulusal Matematik Sempozyumu, 7-11 Eylul 1998, Suleyman Demirel Üniversitesi, Isparta.

Awards & Grants

• Recipient of TUBITAK UBYT (2007, 2008, 2009, 2010, 2011)
• Recipient of TUBITAK BIDEB 2224 (2009)
• Recipient of TUBITAK BIDEB 2221 (2008, 2011)
• Recipient of the PhD Fellowship Award from TUBITAK (1998-2003)
• Recipient of the NATO Scholarship for postgraduate studies (2004)

Refereeing

• Nonlinearity (IOP)
• Computers & Mathematics with Applications (CAMWA)
• Applied Mathematics & Information Sciences (AMIS)
• Abstract and Applied Analysis (AAA)
• International Journal of Difference Equations (IJDE)
• Advances in Difference Equations (ADE)
• Mathematical and Computer Modelling (MCM)
• Applied Mathematics Letters (AML)
• International Journal of Mathematics and Mathematical Sciences (IJMMS)
• Journal of Computational and Applied Mathematics (JCAM)
• Applied Mathematics and Computation (AMC)

Membership in Academic Organizations

• (AMS) American Mathematical Society, Mathematical Reviews (Reviewer)
• (ISDE) International Society of Difference Equations
• (SIAM) Society for Industirial and Applied Mathematics

Workshops Organized

• WORKSHOP ON GLOBAL OPTIMIZATION-WGO 2011 (July 11-12, 2011, IEU)

• DYNAMIC EQUATIONS AND APPLICATIONS (July 8, 2008, IEU)

• TIME SCALE DAY (May 23, 2006, IEU)

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  Other Activities

  Gorece International Mathematics Competition Without Limits

  • 4 th Gorece International Mathematics Competition Without Limits "News (in turkish) and Photos"
  • 5 th Gorece International Mathematics Competition Without Limits "News (in turkish) and Photos"
  • 6 th Gorece International Mathematics Competition Without Limits "Turkish" "English"

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  Positions Held

  • Vice Rector
    Izmir University of Economics
    

  • Professor
    Izmir University of Economics
    Department of Mathematics
    

  • Associate Professor
    Izmir University of Economics
    Department of Mathematics
    

  • Assistant Professor
    Izmir University of Economics
    Department of Mathematics
    

  • Assistant Professor
    Adnan Menderes University
    Department of Mathematics
    

  • Visiting Scholar
    Missouri University of Science and Technology
    Department of Mathematics & Statistics
    

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  Last modified: August 30, 2011.

  Since October 09, 2006.