Two models of partial differential equations with discrete and distributed state-dependent delays
Dynamical Systems
2009-04-18 v1 Analysis of PDEs
Abstract
This work is the first attempt to treat partial differential equations with discrete (concentrated) state-dependent delay. The main idea is to approximate the discrete delay term by a sequence of distributed delay terms (all with state-dependent delays). We study local existence and long-time asymptotic behavior of solutions and prove that the model with distributed delay has a global attractor while the one with discrete delay possesses the trajectory attractor.
Cite
@article{arxiv.math/0503470,
title = {Two models of partial differential equations with discrete and distributed state-dependent delays},
author = {Alexander V. Rezounenko},
journal= {arXiv preprint arXiv:math/0503470},
year = {2009}
}
Comments
17 pages