On a class of PDEs with nonlinear distributed in space and time state-dependent delay term
Dynamical Systems
2007-05-23 v1 Analysis of PDEs
Abstract
A new class of nonlinear partial differential equations with distributed in space and time state-dependent delay is investigated. We find appropriate assumptions on the kernel function which represents the state-dependent delay and discuss advantages of this class. Local and long-time asymptotic properties, including the existence of global attractor, are studied.
Cite
@article{arxiv.math/0611653,
title = {On a class of PDEs with nonlinear distributed in space and time state-dependent delay term},
author = {Alexander V. Rezounenko},
journal= {arXiv preprint arXiv:math/0611653},
year = {2007}
}
Comments
14 pages