Existence and stability for some partial functional differential equations with infinite delay
Date
2003-11-26
Authors
Ezzinbi, Khalil
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence, regularity, and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition on a Banach space X. The nonlinear term takes its values in space larger than X, namely the extrapolated Favard class of the extrapolated semigroup corresponding to the linear part. Our approach is based on the theory of the extrapolation spaces.
Description
Keywords
Hille-Yosida operator, Extrapolation spaces, Favard class, Regularity, Partial functional differential equations, Infinite delay, Mild solution, Linearized stability
Citation
Ezzinbi, K. (2003). Existence and stability for some partial functional differential equations with infinite delay. <i>Electronic Journal of Differential Equations, 2003</i>(116), pp. 1-13.
Rights
Attribution 4.0 International