摘要
研究具有次线性增长条件的二阶微分方程。由Gronwall不等式,得到解是全局存在的;利用解的弹性性质得到周期解的先验界;用度理论的延拓定理,得到了周期解存在的充分条件。
Second order differential equation with sub-linear growth is investigated. Global existence of solution is proved by Gronwall inequity. Based on the "elastic property" of solutions, the priori estimate of the periodic solu- tions is given. A sufficient condition for existence of periodic solution is obtained by using continuation theorem of topological degree.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2013年第6期748-750,755,共4页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(11271277
A010702)
关键词
拓扑度
次线性
周期解
延拓定理
topological degree
sub-linear
periodic solution
continuation theorem