Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations |
| |
Authors: | Toka Diagana |
| |
Institution: | Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, DC 20059, USA |
| |
Abstract: | This paper is concerned with the study of weighted pseudo almost periodic solutions to some classes of hyperbolic differential equations. Upon making some suitable assumptions, the existence and uniqueness of a weighted pseudo almost periodic solution is obtained. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution to a system of partial differential equations arising in control systems described by abstract retarded functional-differential equations with feedback control. |
| |
Keywords: | Sectorial operator Analytic semigroup Hyperbolic semigroup Almost periodic (Weighted) pseudo almost periodic Hyperbolic evolution equation |
本文献已被 ScienceDirect 等数据库收录! |
|