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Asymptotic periodicity and almost automorphy for a class of Volterra integro‐differential equations
Author(s) -
Andrade Bruno,
Cuevas Claudio,
Henríquez Erwin
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1607
Subject(s) - mathematics , class (philosophy) , stability theory , differential equation , mathematical analysis , exponential stability , asymptotically optimal algorithm , pure mathematics , nonlinear system , mathematical optimization , artificial intelligence , computer science , physics , quantum mechanics
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.