Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations
Analysis of PDEs
2014-03-25 v1
Abstract
In this paper we make a subtle use of operator theory techniques and the well-known Schauder fixed-point principle to establish the existence of pseudo-almost automorphic solutions to some second-order damped integro-differential equations with pseudo-almost automorphic coefficients. In order to illustrate our main results, we will study the existence of pseudo-almost automorphic solutions to a structurally damped plate-like boundary value problem.
Cite
@article{arxiv.1403.5955,
title = {Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations},
author = {Toka Diagana},
journal= {arXiv preprint arXiv:1403.5955},
year = {2014}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:1402.5638