Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations

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• 作者：Toka Diagana
• 关键词：Sectorial operator ; Analytic semigroup ; Hyperbolic semigroup ; Almost periodic ; (Weighted) pseudo almost periodic ; Hyperbolic evolution equation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2009
• 出版时间：1 February 2009
• 年：2009
• 卷：350
• 期：1
• 页码：18-28
• 全文大小：209 K

文摘

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.