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arXiv · 1003.3627

Non-local PDEs with a state-dependent delay term presented by Stieltjes integral

Alexander Rezounenko
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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.

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Alexander Rezounenko. 2010-03-18. Non-local PDEs with a state-dependent delay term presented by Stieltjes integral. https://arxiv.org/abs/1003.3627

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