Non-local PDEs with a state-dependent delay term presented by Stieltjes integral
Analysis of PDEs
2010-03-19 v1 Dynamical Systems
Abstract
Parabolic partial differential equations with state-dependent delays (SDDs) are investigated. The delay term presented by Stieltjes integral simultaneously includes discrete and distributed SDDs. The singular Lebesgue-Stieltjes measure is also admissible. The conditions for the corresponding initial value problem to be well-posed are presented. The existence of a compact global attractor is proved.
Cite
@article{arxiv.1003.3627,
title = {Non-local PDEs with a state-dependent delay term presented by Stieltjes integral},
author = {Alexander Rezounenko},
journal= {arXiv preprint arXiv:1003.3627},
year = {2010}
}