Pseudo almost periodic solutions to some differential equations with infinite delay
Date
2006-07-19
Authors
Diagana, Toka
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This paper studies some sufficient conditions for the existence and uniqueness of a pseudo almost periodic mild solution to abstract hyperbolic differential equations with infinite delay. Applications include the existence and uniqueness of a pseudo almost periodic mild solution to the heat equation.
Description
Keywords
Sectorial operator, Analytic semigroup, Infinite delay, Hyperbolic semigroup, Almost periodic, Pseudo almost periodic, Heat equation
Citation
Diagana, T. (2006). Pseudo almost periodic solutions to some differential equations with infinite delay. <i>Electronic Journal of Differential Equations, 2006</i>(79), pp. 1-10.
Rights
Attribution 4.0 International