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arXiv · 1308.4782

On Integro-Differential Inclusions with Operator-valued Kernels

Sascha Trostorff
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Abstract

We study integro-differential inclusions in Hilbert spaces with operator-valued kernels and give sufficient conditions for the well-posedness. We show that several types of integro-differential equations and inclusions are covered by the class of evolutionary inclusions and we therefore give criteria for the well-posedness within this framework. As an example we apply our results to the equations of visco-elasticity and to a class of nonlinear integro-differential inclusions describing Phase Transition phenomena in materials with memory.

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Sascha Trostorff. 2013-08-22. On Integro-Differential Inclusions with Operator-valued Kernels. https://doi.org/10.1002/mma.3111

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