Non-linear partial differential equations with discrete state-dependent delays in a metric space

Details Non-linear partial differential equations with discrete state-dependent delays in a metric space Non-linear partial differential equations with discrete state-dependent delays in a metric space

2009-04-15

arxiv.org/abs/0904.2308v1

Mathematics

Analysis of PDEs

Scientific paper

We investigate a class of non-linear partial differential equations with discrete state-dependent delays. The existence and uniqueness of strong solutions for initial functions from a Banach space are proved. To get the well-posed initial value problem we restrict our study to a smaller metric space, construct the dynamical system and prove the existence of a compact global attractor.

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