Existence of weighted pseudo anti-periodic solutions to some non-autonomous differential equations |
| |
Authors: | Najja S Al-Islam |
| |
Institution: | a Harold Washington College, Department of Mathematics, Chicago, IL 60655, USA b Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia c Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, DC 20059, USA |
| |
Abstract: | In this paper we first introduce two new concepts called respectively weighted pseudo periodicity and weighted pseudo anti-periodicity, which generalize respectively the well-known notions of periodicity and that of anti-periodicity. Basic properties of these new functions are discussed. Furthermore, the existence of weighted pseudo anti-periodic solutions to some damped non-autonomous second-order differential equations will be investigated. To illustrate our abstract results, the existence of weighted pseudo anti-periodic solutions to a plate-like equation is discussed. |
| |
Keywords: | Weight Weighted pseudo periodic Weighted antiperiodic Dichotomy Sectorial operators Second-order differential equations |
本文献已被 ScienceDirect 等数据库收录! |
|