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