Volume no :11, Issue no: 2, October (2011)

Journal of Mathematical Sciences: Advances and Applications

LARGE CONTRACTION AND EXISTENCE OF PERIODIC SOLUTIONS IN INFINITE DELAY VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Author's: YOUSSEF N. RAFFOUL
Pages: [97] - [108]
Received Date: October 4, 2010
Submitted by:

Abstract

In this research, we make use of the concept of large contraction and Krasnoselskii fixed point theorem to show that the totally nonlinear infinite delay Volterra integro-differential equation

has a periodic solution. The need for the use of large contraction arises from the nonlinear term Several examples will be provided as illustration of our results.

Keywords

large contraction, periodic solutions, totally nonlinear, infinite delay, Volterra, integro-differential equations, Krasnoselskii.