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

摘要

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 and it principle of linearized stability, are studied. Copyright (C) 2008 John Wiley & Sons, Ltd.