Mild solutions for some nonautonomous evolution equations with state-dependent delay governed by equicontinuous evolution families
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https://doi.org/10.26637/mjm11S/014Abstract
In this work, we study the existence solutions and the dependence continuous with the initial data for some nondensely nonautonomous partial functional differential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely defined, satisfies the well-known hyperbolic conditions and generate a noncompact evolution family. Our existence results are based on Sadovskii fixed point Theorem. An application is provided to a reaction-diffusion equation with state-dependent delay.
Keywords:
Nondensely nonautonomous evolution equations, mild solution, Kuratowski measure of non-compactness, State- dependent delayMathematics Subject Classification:
35R10, 47J35- Pages: 227-240
- Date Published: 01-10-2023
- Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday
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Copyright (c) 2023 Moussa El-Khalil Kpoumié, Yannick-Levis Djeunankam, Joseph Mbang, Pierre Noundjeu
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