On a class of PDEs with nonlinear distributed in space and time state-dependent delay term

Details On a class of PDEs with nonlinear distributed in space and time state-dependent delay term On a class of PDEs with nonlinear distributed in space and time state-dependent delay term

2006-11-21

arxiv.org/abs/math/0611653v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

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.

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