Existence of S-asymptotically ω-periodic solutions to abstract integro-differential equations

作者:

Highlights:

• We study the existence of solutions for a class of abstract equations.

• We construct an exponentially stable resolvent operator.

• Solutions S-asymptotically ω-periodic are obtained.

• We obtained existence results with less restrictions on the constants.

• We provide a concrete example for the abstract results.

摘要

•We study the existence of solutions for a class of abstract equations.•We construct an exponentially stable resolvent operator.•Solutions S-asymptotically ω-periodic are obtained.•We obtained existence results with less restrictions on the constants.•We provide a concrete example for the abstract results.

论文关键词:Integro-differential equations,Abstract differential equations,S-asymptotically ω-periodic solutions,Mild solutions,Resolvent operator

论文评审过程:Available online 2 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.01.005