期刊文献+

具有线性位势的非自治二阶Hamilton系统的周期解

Periodic Solutions for Nonautomous Second Order Systems with Linear Potencials
下载PDF
导出
摘要 通过使用临界点理论中的极大极小的方法研究了具有线性位势的非自治的二阶Hamilton系统,并获得了两个周期解的存在定理。 In the paper,the non-autonomous second order systems with linear potentials are studied by the minimax methods in critical point theory and existence theorems of periodic solutions are obtained.
出处 《河北理工大学学报(自然科学版)》 CAS 2009年第1期83-86,共4页 Journal of Hebei Polytechnic University:Social Science Edition
关键词 周期解 临界点 鞍点定理 二阶非自治系统 periodic solutions critical point the Saddle Point Theorem non-autonomous second-order system
  • 相关文献

参考文献7

  • 1Tang,C.L.Periodic solutions of nonautonomous second order system with-quasisubadditive potential[].Journal of Mathematical Analysis and Applications.1995
  • 2P.H.Rabinwitz.Minimax methods in critical points theory with applications to differential equations[]..1986
  • 3Brezis H,Nirenberg L.Remarks on Finding Critical Points[].Communications on Pure and Applied Mathematics.1991
  • 4Long Y M.Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials[].Nonlinear Analysis.1995
  • 5MAWHIN J,,WILLEM M.Critical point theory andHamiltonian systems[]..1989
  • 6Tang C L.Existence and multiplicity of periodic solutions for nonautonomous second order systems[].Nonlinear Analysis.1998
  • 7Tang,Chunlei.Periodic solutions for nonautomous second order systems with sublinear nonlinearity[].Proceedings of the American Mathematical Society.1998

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部