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一类带有次线性非线性项的二阶系统周期解的存在性

Existence of periodic solutions for a class of second order systems with sublinear nonlinearity
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摘要 利用鞍点定理讨论了一类带有次线性非线性项的二阶系统周期解的存在性. The existence of periodic solution is discussed for a class of second order systems with sublinear nonlinearity by using saddle point theorem.
出处 《西北师范大学学报(自然科学版)》 CAS 2003年第4期5-8,共4页 Journal of Northwest Normal University(Natural Science)
关键词 周期解 二阶系统 次线性 鞍点定理 periodic solutions second order systems sublinear the saddle point theorem
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参考文献4

  • 1Mawhin J. Forecd second order conservative conservative systems with periodic nonlinearity [ J ]. Ann last H Poincaré Anal Non Linéaire, 1989, 6: 415-434.
  • 2Ekeland I. On the variational principle[J]. J Math Arial Appl, 1974, 47: 324-353.
  • 3Mawhin J, Willem M. Critical Point Theory and Hamiltonian Systems [M]. New York, Berlin, Heidelberg, London, Paris, Tokyo: Springer-Verlag,1989.
  • 4Tang Chun-lei. Periodic solutions for nonautonomous second order systems with sublinear nonlinearity[J]. Proc Amer Math Soc, 1998, 11: 3262-3270.

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