摘要
本文利用不动点理论中的Leray-Schauder度定理,研究了一类时滞Rayleigh方程反周期解的存在性问题.文中给出了保证反周期解存在的充分条件,并举例说明所给条件的合理性和广泛性.
In this paper,we study the existence of anti-periodic solutions for a kind of Rayleigh equations with delay by using the fixed theorem of the Leray-Schauder degree theory.We obtain sufficient conditions for the existence of anti-periodic solutions.Finally,two examples are presented to illustrate the feasibility and effectiveness of the sufficient conditions.
出处
《工程数学学报》
CSCD
北大核心
2011年第3期354-364,共11页
Chinese Journal of Engineering Mathematics
基金
云南大学第三批"中青年骨干教师培养计划"项目(21132014)~~