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author:

Xia, Y. (Xia, Y..) [1] | Lin, M. (Lin, M..) [2] | Cao, J. (Cao, J..) [3]

Indexed by:

Scopus

Abstract:

Certain almost periodic perturbation systems are considered in this paper. By using the roughness theory of exponential dichotomies and the contraction mapping principle, some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution of the above systems. Our results generalize those in [J.K. Hale, Ordinary Differential Equations, Krieger, Huntington, 1980; C. He, Existence of almost periodic solutions of perturbation systems, Ann. Differential Equations 9 (1992) 173-181; M. Lin, The existence of almost periodic solution and bounded solution of perturbation systems, Acta Math. Sinica 22A (2002) 61-70 (in Chinese); W.A. Coppel, Almost periodic properties of ordinary differential equations, Ann. Math. Pura Appl. 76 (1967) 27-50; A.M. Fink, Almost Periodic Differential Equations, Lecture Notes in Math., vol. 377, Springer-Verlag, New York, 1974; Y. Xia, F. Chen, A. Chen, J. Cao, Existence and global attractivity of an almost periodic ecological model, Appl. Math. Comput. 157 (2004) 449-475]. © 2005 Elsevier Inc. All rights reserved.

Keyword:

Almost periodic solution; Contraction mapping; Exponential dichotomies; Roughness

Community:

  • [ 1 ] [Xia, Y.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 2 ] [Xia, Y.]Department of Mathematics, Southeast University, Nanjing 210096, China
  • [ 3 ] [Lin, M.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
  • [ 4 ] [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China

Reprint 's Address:

  • [Cao, J.]Department of Mathematics, Southeast University, Nanjing 210096, China

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Source :

Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Year: 2005

Issue: 1

Volume: 310

Page: 81-96

0 . 5 7 9

JCR@2005

1 . 2 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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