Non-linear partial differential equations with discrete state-dependent delays in a metric space
Analysis of PDEs
2009-04-16 v1 Dynamical Systems
Abstract
We investigate a class of non-linear partial differential equations with discrete state-dependent delays. The existence and uniqueness of strong solutions for initial functions from a Banach space are proved. To get the well-posed initial value problem we restrict our study to a smaller metric space, construct the dynamical system and prove the existence of a compact global attractor.
Cite
@article{arxiv.0904.2308,
title = {Non-linear partial differential equations with discrete state-dependent delays in a metric space},
author = {Alexander V. Rezounenko},
journal= {arXiv preprint arXiv:0904.2308},
year = {2009}
}