Existence of positive periodic solution for the electron beam focusing system
β Scribed by Meiyue Zhang; Taiyong Chen; Wenbin Liu; Yong Jia
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 92 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.591
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β¦ Synopsis
Abstract
In this paper, we study the mathematical model of electron beam focusing system
where a>0,bβ©Ύ0 are constants, find conditions for the existence of positive Οβperiodic solution of the above equation by using analytical method and comparison theory, and prove the existence of positive Οβperiodic solution by the continuously dependent theory of initial value problem. Copyright Β© 2004 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components for a periodic predator-prey system with infinite delays by using the method of coincidence degree.
## Abstract In this paper, we establish several criteria for the existence, multiplicity, nonexistence of positive periodic solutions of the following system by combining some new properties of Green's function together with Krasnosel'skΔ fixed point theorem on the compression and expression of co