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Asymptotic periodicity and almost automorphy for a class of Volterra integro‐differential equations |
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| Authors: | Bruno de Andrade Claudio Cuevas Erwin Henríquez |
| Institution: | 1. Departamento de Matemática, ICMC, USP‐S?o Carlos, , S?o Carlos‐SP, CEP. 13569‐970 Brazil;2. Departamento de Matemática, Universidade Federal de Pernambuco, , Recife‐PE, CEP. 50540‐740 Brazil;3. Departamento de Matemática y Estadística, Universidad de La Frontera, , Temuco, Chile |
| Abstract: | This work deals with the existence of asymptotically periodic (resp. asymptotically almost automorphic) solutions for a class of Volterra integro‐differential equations. As application, we examine sufficient conditions for the existence of asymptotically periodic (resp. asymptotically almost automorphic) mild solutions of an equation arising in the study of heat conduction in materials with memory. Copyright © 2012 John Wiley & Sons, Ltd. |
| Keywords: | Volterra integro‐differential equations asymptotically periodic function asymptotically almost automorphic functions heat conduction in materials with memory |