Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We investigate the existence of the periodic solutions of a nonlinear integro-differential system with piecewise alternately advanced and retarded argument of generalized type, in short DEPCAG; that is, the argument is a general step function.
We consider the critical case, when associated linear homogeneous system admits nontrivial periodic solutions.
Criteria of existence of periodic solutions of such equations are obtained.
In the process we use Green’s function for periodic solutions and convert the given DEPCAG into an equivalent integral equation.
Then we construct appropriate mappings and employ Krasnoselskii’s fixed point theorem to show the existence of a periodic solution of this type of nonlinear differential equations.
We also use the contraction mapping principle to show the existence of a unique periodic solution.
Appropriate examples are given to show the feasibility of our results.
American Psychological Association (APA)
Chiu, Kuo-Shou. 2013. Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1049923
Modern Language Association (MLA)
Chiu, Kuo-Shou. Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument. The Scientific World Journal No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1049923
American Medical Association (AMA)
Chiu, Kuo-Shou. Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument. The Scientific World Journal. 2013. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1049923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049923