一类三阶非线性常微分方程的周期解Periodic Solutions of a Class of Third Order Nonlinear Ordinary Differential Equations
向子贵;
摘要(Abstract):
<正> 微分方程周期解的存在性问题,很早就受到重视。本文用拓扑度的方法研究一类三阶非线性方程周期的存在性。为方便起见,我们约定本文涉及到的函数都是连续的,对t是ω周期的;并且能保证方程
关键词(KeyWords):
基金项目(Foundation):
作者(Authors): 向子贵;
参考文献(References):
- [1] 李正元、钱敏,向量场的旋转度理论及其应用,北京大学出版社(1982)
- [2] R, Ressig, Eexension of some results conceyning the generaliged lienard eguation Ann Mat pura Appl. 104 (1975) 269--281.
- [3] J, Manhin An exension of a theorem of A. C. Lager on forced nonlinear Qscillations J Math Anal Appl. 40 (1972) 20--29.
- [4] J. Mawhin Eguivalece theorem for nonlinear equations and coincidence degree for some mappings in locally convex topological vector spaces. J. differential equations 12 (1972) 610--636.
- [5] 郭大钧.非线性泛函分析,山东科学技术出版社(1985)