线性增长条件下非自制二阶系统解的存在性Existence of Periodic Solutions on the Non-autonomous Second Order Systems under the Liner-growth Conditions
潘文秀
摘要(Abstract)：
将极大极小方法应用于非自制二阶系统上,在其满足线性增长条件下,通过证明系统满足(p.s)条件,得到非自治二阶系统解的存在性定理.
关键词(KeyWords)： 周期解;非自制二阶系统;(P.S)条件;强制;鞍点.
基金项目(Foundation):
作者(Author): 潘文秀
参考文献(References)：
- [1]Mawhin J,Willim M.Critical Point Theory and Hamiton System[M].New York:Springer-Verleg,1989.
- [2]Tang C,Periodic Solutions For Non-autonomous Second OrderSystems With Sublinear Nonlinearity[J].Proc.Amer.Math.Soc,1998,126(11).
- [3]Zhao F,Wu X.Saddle point reduction method for some nonautono-mous second order systems[J].Math.Anal.Appl,2004,291:653-665.
- [4]陆文端.微分方程中的变分方法[M].成都:四川大学出版社,1995.
- [5]Rabinowitz P.H.Minimax methods in critical point theory withapplications to differential equations[C].Rhode Island:pub-lished by the Americal Mathematical Society,1986.