Existence of Periodic Solutions for Integrodifferential Impulsive Periodic System on Banach Space
Joint Authors
Wei, Wei
Xiang, X.
Wang, JinRong
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-16
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper deals with a class of integrodifferential impulsive periodic systems on Banach space.
Using impulsive periodic evolution operator given by us, the T0-periodic PC-mild solution is introduced and suitable Poincaré operator is constructed.
By virtue of the generalized new Gronwall lemma with impulse and B-norm, the estimate on the PC-mild solutions is derived.
Showing the continuity and compactness of the Poincaré operator, we utilize Horn's fixed point theorem to prove the existence of T0-periodic PC-mild solutions when the PC-mild solutions are bounded and ultimate bounded.
This extends the study of periodic solutions of integrodifferential periodic system without impulse to integrodifferential periodic system with impulse on general Banach spaces.
At last, an example is given for demonstration.
American Psychological Association (APA)
Wang, JinRong& Xiang, X.& Wei, Wei. 2009. Existence of Periodic Solutions for Integrodifferential Impulsive Periodic System on Banach Space. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-509805
Modern Language Association (MLA)
Wang, JinRong…[et al.]. Existence of Periodic Solutions for Integrodifferential Impulsive Periodic System on Banach Space. Abstract and Applied Analysis No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-509805
American Medical Association (AMA)
Wang, JinRong& Xiang, X.& Wei, Wei. Existence of Periodic Solutions for Integrodifferential Impulsive Periodic System on Banach Space. Abstract and Applied Analysis. 2009. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-509805
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509805