Asymptotic stability of nonlinear integrodifferential equation

Authors

  • Prebo Jackreece University of Port Harcourt
  • Stephen Aniaku University of Nigeria, Nsukka

DOI:

https://doi.org/10.14419/ijamr.v7i2.9592

Published:

2018-04-19

Keywords:

Asymptotic Stability, Lyapunov Functional, Integro-Differential Equations.

Abstract

The investigation of stability for nonlinear dynamical system often related to the construction of Lyapunov functionals. We employ Lyapunov functionals to the system of nonlinear Volterra integro-differential equations of the form  and obtain conditions for the asymptotic stability of the zero solution. Also, we give examples to illustrate the obtained results.

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