Periodic Solutions of Second Order Superlinear Singular Dynamical Systems

被引:0
作者
Jifeng Chu
Ziheng Zhang
机构
[1] Hohai University,Department of Mathematics, College of Science
[2] Beijing Normal University,School of Mathematical Sciences
来源
Acta Applicandae Mathematicae | 2010年 / 111卷
关键词
Periodic solutions; Superlinear; Singular dynamical systems; Fixed point theorem in cones;
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学科分类号
摘要
We study the existence of periodic solutions of second order superlinear dynamical systems with a singularity of repulsive type. The proof is based on a well-known fixed point theorem for completely continuous operators. We do not need to consider so-called strong force conditions. Recent results in the literature are generalized and significantly improved.
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页码:179 / 187
页数:8
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共 54 条
  • [1] Adachi S.(2005)Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems Topol. Methods Nonlinear Anal. 25 275-296
  • [2] Ambrosetti A.(1987)Critical points with lack of compactness and singular dynamical systems Ann. Mat. Pura Appl. 149 237-259
  • [3] Coti Zelati V.(1989)Perturbation of Hamiltonian systems with Keplerian potentials Math. Z. 201 227-242
  • [4] Ambrosetti A.(1989)A minimax method for a class of Hamiltonian systems with singular potentials J. Funct. Anal. 82 412-428
  • [5] Coti Zelati V.(1958)On the design of the transition region of axi-symmetric magnetically focusing beam valves J. Br. Inst. Radio Eng. 18 696-708
  • [6] Bahri A.(2003)Forced singular oscillators and the method of lower and upper solutions Topol. Methods Nonlinear Anal. 22 297-317
  • [7] Rabinowitz P.H.(2008)Non-collision periodic solutions of second order singular dynamical systems J. Math. Anal. Appl. 344 898-905
  • [8] Bevc V.(2007)Periodic solutions of second order non-autonomous singular dynamical systems J. Differ. Equ. 239 196-212
  • [9] Palmer J.L.(1989)Periodic solutions for a class of planar, singular dynamical systems J. Math. Pures Appl. 68 109-119
  • [10] Süsskind C.(1993)Infinitely many J. Differ. Equ. 103 260-277