This paper deals with a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria are established. The
A new existence theory for positive periodic solutions to functional differential equations with impulse effects
β Scribed by Xiaoyue Li; Xiaoying Zhang; Daqing Jiang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 475 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
The principle of this paper is to deal with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments. Easily verifiable sufficient criteria are established. The approach is based on the fixed-point theorem in cones. The paper extends some previous results and obtains some new results. (~) 2006 Elsevier Ltd. All rights reserved.
π SIMILAR VOLUMES
By applying the well-known Leggett-Williams multiple fixed point theorem, this paper investigates the existence of multiple positive periodic solutions of functional differential equations with impulses and a parameter.
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