Almost Periodic Solutions of Semilinear Equations with Analytic Semigroups in Banach Spaces
Date
2002-11-27
Authors
Bahaj, Mohamed
Sidki, Omar
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equations having analytic semigroups. Our basic tool in this paper is the use of fractional powers of operators.
Description
Keywords
Semilinear equation in Banach spaces, Almost periodic solution, Infinitesimal generator of analytic semigroups, Fractional powers
Citation
Bahaj, M., & Sidki, O. (2002). Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces. <i>Electronic Journal of Differential Equations, 2002</i>(98), pp. 1-11.
Rights
Attribution 4.0 International