Center Manifold Theorem and Stability for Integral Equations with Infinite Delay
Dynamical Systems
2012-12-05 v1 Functional Analysis
Abstract
The present paper deals with autonomous integral equations with infinite delay via dynamical system approach. Existence, local exponential attractivity, and other properties of center manifold are established by means of the variation-of-constants formula in the phase space that is obtained in a previous paper \cite{mur}. Furthermore, we prove a stability reduction principle by which the stability of an autonomous integral equation is implied by that of an ordinary differential equation which we call the "central equation".
Cite
@article{arxiv.1212.0817,
title = {Center Manifold Theorem and Stability for Integral Equations with Infinite Delay},
author = {Hideaki Matsunaga and Satoru Murakami and Yutaka Nagabuchi and Nguyen Van Minh},
journal= {arXiv preprint arXiv:1212.0817},
year = {2012}
}
Comments
42 pages