摘要
目前关于具偏差变元高阶Liénard型方程周期解的存在性的研究工作还很少,而且对其周期解的先验估计比较粗糙,因此本文基于更精确的先验估计,利用重合度理论中的连续定理,获得了一类具偏差变元的高阶Liénard型方程周期解存在性的若干新结论,所得结果推广了已有文献的相关结论,并使条件有所减弱。
There is rare research on existence of periodic solution of high order Liénard-type equation with deviating variables, in addition, existing estimation results are coarse at present, In this paper, basing on better prior estimate, the theory of Brouwer degree and coincidence degree, the new results are obtained on the existence of periodic solutions to a class of high order Liénard-type equation with deviating variables, which improves and extends some results in the literature.
出处
《工程数学学报》
CSCD
北大核心
2008年第4期697-702,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10671133)
关键词
高阶Liénard型方程
偏差变元
周期解
存在性
重合度
high order Liénard-type equation
deviating variable
periodic solutions
existence
coincidence degree
