Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space
Joint Authors
Wei, Wei
Xiang, X.
Wang, JinRong
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-12-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A class of semilinear impulsive periodic systems with time-varying generating operators on Banach space is considered.
Using impulsive periodic evolution operator given by us, the T0-periodic PC-mild solution is introduced and suitable Poincaré operator is constructed.
Showing the compactness of Poincaré operator and using a new generalized Gronwall inequality with mixed type integral operators given by us, we utilize Leray-Schauder fixed point theorem to prove the existence of T0-periodic PC-mild solutions.
Our method is an innovation and it is much different from methods of other papers.
At last, an example is given for demonstration.
American Psychological Association (APA)
Wang, JinRong& Xiang, X.& Wei, Wei. 2008. Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-452599
Modern Language Association (MLA)
Wang, JinRong…[et al.]. Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space. Mathematical Problems in Engineering No. 2008 (2008), pp.1-15.
https://search.emarefa.net/detail/BIM-452599
American Medical Association (AMA)
Wang, JinRong& Xiang, X.& Wei, Wei. Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-452599
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452599