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November 2004 Existence and stability of solutions for a class of partial neutral functional differential equations
Mostafa Adimy, Khalil Ezzinbi
Hiroshima Math. J. 34(3): 251-294 (November 2004). DOI: 10.32917/hmj/1150998507

Abstract

In this work, we consider a class of nonlinear partial neutral functional di¤erential equations with a nondensely defined Hille-Yosida operator. We first prove the local existence, uniqueness and regularity of solutions. Second, we study the global existence and stability. In the end, we extend in the autonomous case, results of Hale ([21], [23]) concerning dissipativeness and existence of a global attractor to our situation.

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Mostafa Adimy. Khalil Ezzinbi. "Existence and stability of solutions for a class of partial neutral functional differential equations." Hiroshima Math. J. 34 (3) 251 - 294, November 2004. https://doi.org/10.32917/hmj/1150998507

Information

Published: November 2004
First available in Project Euclid: 22 June 2006

zbMATH: 1082.35159
MathSciNet: MR2120517
Digital Object Identifier: 10.32917/hmj/1150998507

Subjects:
Primary: 34K20
Secondary: 34G20, 34K30, 34K40, 47D06, 47N20

Rights: Copyright © 2004 Hiroshima University, Mathematics Program

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Vol.34 • No. 3 • November 2004
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