Global existence and stability for second order functional evolution equations with infinite delay

Abstract

In this article, the authors give sufficient conditions for existence and attractivity of mild solutions for second order semi-linear functional evolution equation in Banach spaces using Schauder's fixed point theorem. An example is provided to illustrate the result.

Keywords

• semilinear functional differential equations of second order
• mild solution
• attractivity
• evolution system
• fixed-point
• infinite delay
• infinite interval