**Prof. Aydin Tiryaki**

Department of Mathematics and Computer Science

Faculty of Arts and Sciences

İzmir University, Turkey

Professor

Email: aydin.tiryaki@izmir.edu.tr

**Qualifications**

1985 Ph.D., Ankara University, Turkey

1981 M.S., Ankara University, Turkey

1977 B.S., Atatürk University, Turkey

**Publications (Selected)**

- Şahiner, Sinem; Mısırlı, Emine; Tiryaki, Aydın; Sturm comparison theorems for some elliptic type equations with damping and external forcing terms. J. Inequal. Appl. 2015:77, (2015).
- Aktaş, Mustafa Fahri; Çakmak, Devrim; Tiryaki, Aydın; On the Lyapunov-type inequalities of a three-point boundary value problem for third order linear differential equations. Appl. Math. Lett. 45 (2015), 1–6.
- A. Tiryaki and R. Oinarov, Oscillation criteria for certain second order superlinear differential equations, Nonlinear Oscillations, No.214 (2014) pp. 1-10 .
- Aydin Tiryaki, Sinem Şahiner, Sturm Comparison Theorems via Picone-type inequalities for some nonlinear Elliptic type equations with damped terms, , E. J. Qualitative Theory of Diff. Equ. No. 46 (2014), pp. 1-12.
- Aydin Tiryaki; Sturm-Picone type theorems for second-order nonlinear differential equations, Electron. J. Diff. Equ., Vol. 2014, No. 146 (2014), pp. 1-11.
- Aydin Tiryaki, Devrim Çakmak, Mustafa Fahri Aktaş, Lyapunov Type Inequalities for Two Classes of Dirichlet Quasilinear Systems, Math. Inequal. Appl.,Volume 17, Number 3 (2014), 843–863.
- Mustafa Fahri Aktaş, Devrim Çakmak, Aydin Tiryaki, Lyapunov-Type Inequality for Quasilinear Systems with Anti-periodic boundary conditions, J. Math. Inequal, Volume 8, Number 2 (2014), 313–320.
- Pakize Temtek, Aydin Tiryaki. Oscillation criteria for a certain second-order nonlinear perturbed differential equations, J. of Inequal. and Appl., 2013:524. (11 Nov. 2013)
- Tiryaki, A., Zafer, A., Global existence and boundedness for a class of second-order nonlinear differential equations, , Applied Mathematics Letters 26 (9) , pp. 939-944 (2013).
- Çakmak, D., Aktas, M.F., Tiryaki, A., Lyapunov-type inequalities for nonlinear systems involving the (p1, p2,..., pn)-laplacian, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 128, pp. 1-10.
- A. Tiryaki, Aydin; Zafer, Agacik. Global existence and boundedness for a class of second-order nonlinear differential equations. Appl. Math. Lett., 26(9)(2013), 939-944.
- A. Tiryaki, D. Cakmak, M. Fahri Aktas, Lyapunov-type inequalities for a certain class of nonlinear systems, Comput. Math. Appl, 64(6)(2012), 1804-1811.
- M. F. Aktas, D. Cakmak and A. Tiryaki, On the qualitative behaviors of solutions of third order nonlinear differential equations, Comput. Math. Appl, 62 (2011), 2029-2036.
- D. Çakmak, A. Tiryaki, Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1,p2,...,pn)-Laplacian, J. Math. Anal. Appl., 369, (2010), 76-81.
- M.F. Aktas, A. Tiryaki and, A. Zafer, Integral criteria for oscillation of third order nonlinear differential equations, Nonlinear Anal. 71(12), (2009) 1496-1502.
- A. Tiryaki and M. F. Aktaş, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68.
- A. Tiryaki, M. Ünal and D. Çakmak, Lyapunov-type inequalities for nonlinear systems, J. Math. Anal. Appl. 332 (2007), 497-511.
- A. Tiryaki and A. Zafer, Interval oscillation of a general class of second order nonlinear equations with nonlinear damping, Nonlinear Anal. 60(1), 2005, 49-63.
- B. Ayanlar and A. Tiryaki, Oscillation theorems for nonlinear second order differential equations with damping, Acta Math. Hungary 89 (2000), 1-13.
- A. Tiryaki, Periodic solutions in ordinary differential equations using dissipativity conditions, J. Math. Anal. Appl. 173 (1993), 308-317.

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