New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag.

Authors

  • Cemil Tunç Yuzuncu Yil University.
  • Sizar Abid Mohammed University of Duhok.

Keywords:

Non-linear, (VIDE), First order, Delay, (UEAS), (LF)

Abstract

In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag.

Author Biographies

Cemil Tunç, Yuzuncu Yil University.

Department of Mathematics, Faculty of Sciences.

Sizar Abid Mohammed, University of Duhok.

Department of Mathematics, College of Basic Education.

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How to Cite

[1]
C. Tunç and S. A. Mohammed, “New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag.”, Proyecciones (Antofagasta, On line), vol. 36, no. 4, pp. 615-639, 1.

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