DUYGU ARUĐASLAN

EDUCATION

Ph.D. in Mathematics
Middle East Technical University
Dissertation: “Differential Equations with Discontinuities and Population Dynamics”

B.Sc. in Mathematics Education
Middle East Technical University

B.Sc. in Mathematics(Double Major)
Middle East Technical University

RESEARCH INTERESTS

• Differential equations with discontinuities
• Differential equations with piecewise constant argument of generalized type
• Impulsive differential equations
• Discontinuous dynamical systems
• Mathematical biology
• Neural networks

PUBLICATIONS AND CONFERENCES

• Akhmet, M. U., Aruđaslan, D. and Bekliođlu, M., Impulsive control of the population dynamics, Proceedings of the Conference on Differential and Difference Equations and Applications at the Florida Institute of Technology, August 1-5, 2005, Melbourne, Florida, Hindawi Publ. Corp., New York, 21-29, (2006).
• Akhmet, M. U., Aruđaslan, D. and Liu, X., Permanence of nonautonomous ratio-dependent predator-prey systems with piecewise constant argument of generalized type, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 15, 37-51, (2008).
• Akhmet, M. U. and Aruđaslan, D., Lyapunov-Razumikhin method for differential equations with piecewise constant argument, Discrete Contin. Dyn. Syst., 25 (2009), no. 2, 457-466.
• Akhmet, M. U. and Aruđaslan, D. , Bifurcation of a non-smooth planar limit cycle from a vertex, Nonlinear Anal., 71 (2009), e2723--e2733.
• Akhmet, M. U., Aruđaslan, D. and Turan, M., Hopf bifurcation for a 3D Filippov system, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 16 (2009), no. 6, 759-775.
• Akhmet, M. U., Aruđaslan, D. and Yýlmaz, E., Stability in cellular neural networks with piecewise constant argument, Journal of Computational and Applied Mathematics, 233 (2010), no. 9, 2365-2373.
• Akhmet, M. U., Aruđaslan, D. and Yýlmaz, E., Stability analysis of recurrent neural networks with deviated argument of mixed type, Neural Networks, 23 (2010), no. 7, 805-811.
• Akhmet, M. U., Aruđaslan, D. and Yýlmaz, E., Method of Lyapunov functions for differential equations with piecewise constant delay, Journal of Computational and Applied Mathematics, 235, (2011), no. 16, 4554-4560.
• Fifth World Congress of Nonlinear Analysts, Orlando, USA, 2-9 July, 2008.
• Second Ankara Mathematics Days Symposium, Ankara University, Ankara Turkey, 22-23 May, 2008.
• Conference on Differential and Difference Equations and Applications, Florida Institute of Technology, Melbourne, USA, 1-5 August, 2005.

ADRESS

Süleyman Demirel University, Department of Mathematics , Isparta, Turkey.
Phone : +90 246 211 4280
E-mail: duyguarugaslan[at]sdu.edu.tr