Existence and regularity of local solutions to partial neutral functional differential equations with infinite delay
Date
2006-08-09
Authors
Bouzahir, Hassane
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we establish results concerning, existence, uniqueness, global continuation, and regularity of integral solutions to some partial neutral functional differential equations with infinite delay. These equations find their origin in the description of heat flow models, viscoelastic and thermoviscoelastic materials, and lossless transmission lines models; see for example [15] and [38].
Description
Keywords
Infinite delay, Integrated semigroup, Neutral type, Phase space, Regularity
Citation
Bouzahir, H. (2006). Existence and regularity of local solutions to partial neutral functional differential equations with infinite delay. Electronic Journal of Differential Equations, 2006(88), pp. 1-16.
Rights
Attribution 4.0 International