Curriculum Vitae

First name / Surname: Ayşe Feza GÜVENİLİR

E-mail: guvenili@science.ankara.edu.tr

Nationality: Turkey

Date of birth:  12.01.1962

Gender: Female

 

Employement:

 

Professor : 2017- ....    Department of Mathematics, Ankara University

Associate Professor: 2011-2017  Department of Mathematics, Ankara University

 

Assistant Professor: 2005-2011 Department of Mathematics, Ankara University

 

Instructor: 1995-2005  Department of Mathematics, Ankara University

 

Research and Teaching Assistant: 1987-1995 Department of Mathematics, Ankara University

 

Teaching  Experience :

 

·        Differential Equations

·        Calculus

·        Partial Differential Equations

 

 

Education:

 

Ph.D.  Ankara University,

          Graduate School of  Natural And Applied Sciences,

          Department of  Mathematics (1995)

          Title of the thesis: ‘‘The existence of solutions of semilinear differential equations.’’

          Supervisor: Prof.Dr. A.Okay ÇELEBİ.

 

M.S.  Hacettepe University,

          Graduate School of  Natural And Applied Sciences

          Department of  Mathematics (1987)

          Title of the thesis: ‘‘Transformations on Hilbert space and some applications’’

 

B.S.   Department of  Mathematics, Ankara University (1984)

 

Research Interest:  Special functions, Ordinary differential equations, Partial differential equations, Difference equations,  Functional differential equations

 

Current Research: Fractional differential equations

 

Conferences:

    

         “Interval oscillation of second-order functional differential equations with oscillatory potantials,” WCNA 2008 Fifth World Congress of Nonlinear Analysts.

         “Interval oscillation of second-order difference equations with oscillatory potantials,” ICDEA 2008 14th International Conference on Difference Equations and Applications.

        “The existence of solutions sixth –order semilinear elliptic differential equations,” VIII. National Mathematics Symposium 1995.

  

Publications:

18-) Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakcalan, Billur Some results on predator-prey dynamic systems with Beddington-Deangelis type functional response on time scale calculus. Dynam. Systems Appl. 26 (2017), no. 1, 167–181.

17-) Aslıyüce, Serkan; Güvenilir, A. Feza; Zafer, Ağacık Oscillation criteria for a certain class of fractional order integro-differential equations. Hacet. J. Math. Stat. 46 (2017), no. 2, 199–207.
16-) Asliyüce, Serkan; Feza Güvenilir, Ayşe Chebyshev type inequality on nabla discrete fractional calculus. Fract. Differ. Calc.6 (2016), no. 2, 275–280.
15-) Pelen, Neslihan Nesliye; Güvenilir, Ayşe Feza; Kaymakçalan, Billur Behavior of the solutions for predator-prey dynamic systems with Beddington-DeAngelis type functional response on periodic time scales in shifts. Abstr. Appl. Anal. 2016, Art. ID 1463043, 9 pp.
14-) Pelen, Neslihan Nesliye; Güvenilir, A. Feza; Kaymakçalan, Billur Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response. Adv. Difference Equ. 2016, Paper No. 15, 19 pp.
13-) Akin, Elvan; Aslıyüce, Serkan; Güvenilir, Ayşe Feza; Kaymakçalan, Billur Discrete Grüss type inequality on fractional calculus. J. Inequal. Appl. 2015, 2015:174, 7 pg.
12-) Güvenilir, Ayşe Feza; Kaymakçalan, Billur; Nesliye Pelen, Neslihan Constantin's inequality for nabla and diamond-alpha derivative. J. Inequal. Appl. 2015, 2015:167, 17 pp.
11-) Güvenilir, A. F.; Nizigiyimana, F. Oscillation criteria for second-order quasi-linear delay dynamic equations on time scales. Adv. Difference Equ. 2014, 2014:45, 16 pp.
10-) Güvenilir, A. F.; Nizigiyimana, F. Oscillation criteria for second-order quasi-linear delay dynamic equations on time scales. Adv. Difference Equ. 2014, 2014:45, 16 pp.
9-) Güvenilir, A. Feza; Kaymakçalan, Billur; Peterson, Allan C.; Taş, Kenan Nabla discrete fractional Grüss type inequality. J. Inequal. Appl. 2014, 2014:86, 9 pp.
8-) Güvenilir, A.F., Şahiner, Y. and Zafer, A. “Mixed nonlinear oscillation of second-order forced dynamicl equations ,” Dynamic Systems and Applications, 19, 635-650 (2010).

7-) Güvenilir, A.F. “Interval oscillation of second-order functional differential equations with oscillatory potentials,”Nonlinear Analysis,71,e2849-e2854 (2009).
6-) Güvenilir, A.F. “Interval oscillation criteria for second-order  delay and advanced difference equations ,” Commun. Fac. Sci. Univ. Ank. Series A1 58, 1,  39-48 (2009).
5-) Güvenilir, A.F. and Zafer, A. “Second-order oscillation of forced functional differential equations with oscillatory potentials,” Computers and Mathematics with Applications,51, 1395-1404 (2006).
4-) Güvenilir, A.F. “A note on the boundedness of solutions of functional differential equations with delay and advanced arguments,” Commun. Fac. Sci. Univ. Ank. Series A1 53, 2, 53-56 (2004).
3-) Güvenilir, A.F. and Kalantarov, V. K. “The asymptotic behavior of solutions to an ınverse problem for differential operator equations,” Mathematical and Computer Modelling, 37, 907-914 (2003).
2-) Güvenilir, A.Feza and Çelebi, A.Okay. “A note on a symptotic stability of a class of functional differential equations, ”  Indian Journal of  Mathematics Vol. 42, no. 1,  37-41 (2000).
1-) Güvenilir, A.Feza and Çelebi, A.Okay. “Existence of solutions of semilinear higher order elliptic equations, ” Indian Joırnal of Math. Vol.38, no.3,203-218 (1996).