Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces

Authors:	A Caicedo C Cuevas GM Mophou GM N’Guérékata

Institution:	1. Departamento de Matemática, Universidade Federal de Pernambuco, Recife-Pernambuco, CEP: 50540-740, Brazil;2. Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole, 97159 Pointe-à-Pitre, Guadeloupe (FWI);3. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA;1. UPMC, Université Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005 Paris, France;2. Institut préparatoire aux études d?ingénieur de Bizerte, BP 64, 7021 Jarzouna, Bizerte, Tunisia;3. CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005 Paris, France;1. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Vien Toan ung dung va Tin hoc, Dai hoc Bach khoa Hanoi, 1 Dai Co Viet, Hanoi, Viet Nam;2. Arbeitsgruppe Angewandte Analysis, Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 7, 64289 Darmstadt, Germany;1. School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong Province, China;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong Province, China;3. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong Province, China;1. Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France;2. CNRS, IMB, UMR 5251, F-33400 Talence, France;3. Département Tronc Commun, École Polytechnique de Thiès, Sénégal;4. Department of Natural Science in the Center for General Education, Chang Gung University, Guishan, Taoyuan 333, Taiwan;5. Community Medicine Research Center, Chang Gung Memorial Hospital, Keelung, Keelung 204, Taiwan

Abstract:	We prove in this paper the existence and uniqueness of mild solutions to some functional differential and functional integro-differential equations with infinite delay in Banach spaces which approach almost automorphic functions at infinity. We also discuss the existence of S-asymptotically $ω - periodic$ mild solutions. The results are new.

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