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某类非自治二阶系统具鞍点特征的周期解的存在性 被引量：2

Existence of Periodic Solutions with Saddle Point Characteristics for Some Non-Autonomous Second Order Systems
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摘要 研究一类非自治二阶系统周期解的存在性问题.利用鞍点约化方法,证明了该系统具鞍点特征的周期解的存在性,得到了一些新的可解性条件. This paper studies the existence of periodic solutions for some non-autonomous second order systems. The existence theorems of periodic solution with saddle point characteristics are obtained by using saddle point reduction methods.
作者 陈劲 赵富坤
机构地区 昭通师范高等专科学校数学系 云南师范大学数学学院
出处 《宁夏大学学报（自然科学版）》 CAS 北大核心 2006年第4期305-307,共3页 Journal of Ningxia University(Natural Science Edition)
基金 云南省自然科学基金资助项目(2005A0017Q) 云南省教育厅自然科学基金资助项目(04Y798A)
关键词 临界点 非自治二阶系统 鞍点特征 SOBOLEV不等式 critical point non-autonomous second order systems saddle point characteristics Sobolev＇s inequality
分类号 O175.12 [理学—基础数学] O177.92 [理学—基础数学]
  • 相关文献

参考文献7

  • 1MAWHIN J,WILLEM M.Critical point theory and Hamiltonian systems[J].New York:Springer-Verlag,1989.
  • 2AMANN H.Saddle points and multiple solutions of differential equations[J].Math Z,1979,169:127-166.
  • 3ZHAO FUKUN,WU XIAN.Saddle point reduction method for some non-autonomous second order systems[J].J Math Anal Appl,2004,291:653-665.
  • 4TANG CHUNLEI.Periodic solutions of nonautonomous second order systems with γ-quasisubadditive potential[J].J Math Anal Appl,1995,189:671-675.
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同被引文献19

  • 1Mawhin J, Willim M. Critical Point Theory and HamitonSystem[M]. New York:Springer Verleg,1989:8-11.
  • 2陆文端.微分方程的变分方法[M].成都:四川大学出版社,1995:139-222.
  • 3Tang C. Periodic Solutions For Nonautonomous SecondOrder System With Sublinear Nonlinearity [J]. Pro-ceeding of Americal Mathematical Society. 1998, 126(11):3263-3270.
  • 4Zhao F, Wu X. Existence and multiplicity of periodicsolution for non-autonomous second-order systems withlinear nonlinearity [ J]. Nonlinear Analysis, 2005 ? 60(2): 325-335.
  • 5Tang C L,Wu X P. Some critical point theorems andtheir applications to periodic solution for second orderHamiltonian systems[J]. Journal of Differential Equa-tions, 2010,248(4): 660-692.
  • 6Zhao F, Wu X. Saddle point reduction method for somenon-autonomous second order systems [J]. Journal ofMathematical Analysis and Applied?2004,291(2) :653-665.
  • 7Wu X. Saddle point characterization and multiplicity of peri-odic solutions of non-autonomous second-order systems[J].Nonlinear Analysis, 2004,58(8) : 899-907.
  • 8Amann H. Saddle Points and Mutiple Solutions of Dif-ferential Equations [J]. Zentralblatt fur Mathematikundihre Grenzgebiete, 1979,169(3) : 127-166.
  • 9Mawhin J,WiUim M.Critical Point Theory and Hamiton System[M].New York: Springer-Ver leg, 1989.
  • 10C.Tang.Periodic Solutions For Nonauto-nomous Sec-ond Order System With Subli- near nonlinearity[J] . Proc.Amer. Math. Soc.11(126) (1998):3263-3270.

引证文献2

宁夏大学学报（自然科学版）
2006年 第4期

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