Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions

Abstract

In this paper we study a class of semilinear evolution equations with nonlocal initial conditions and give some new results on the existence of asymptotically periodic mild solutions. As one would expect, the results presented here would generalize and improve some results in this area.

Keywords

• semilinear evolution equation
• nonlocal initial condition
• asymptotic periodicity
• compact semigroup
• 35b10
• 35k90