期刊文献+

2n阶非线性差分方程的周期解 被引量:3

原文传递
导出
摘要 本文考虑一类2n阶非线性差分方程,利用临界点理论,获得了该类方程周期解的不存在性和存在性的若干充分条件,所得结论补充或改进了已知结果.
出处 《中国科学(A辑)》 CSCD 北大核心 2010年第1期33-42,共10页 Science in China(Series A)
基金 教育部博士点基金(批准号:20071078001) 国家自然科学基金(批准号:10625104) 加拿大自然科学和工程委员会资助项目 广州市教育系统科研创新学术团队项目
  • 相关文献

参考文献1

二级参考文献2

  • 1Rabinowitz,P. H.Minimax Methods in Critical Point Theory with Applications to Differential Equations,CBMS[]..1986
  • 2Yu,J. S.Asymptotic stability for a linear difference equation with variable delay, Computers Math[].Applica.1998

共引文献53

同被引文献15

  • 1郭志明,庾建设.Existence of periodic and subharmonic solutions for second-order superlinear difference equations[J].Science China Mathematics,2003,46(4):506-515. 被引量:54
  • 2Bin Honghua, Yu Jianshe,Guo Zhiming. Nontrivial periodic solutions for asymptotically linear resonant difference problem [J]. J Math Anal Appl,2006,68(2) :419.
  • 3Deng Xiaoqing. Periodic solutions for a class of subquadratic discrete Hamiltonian systems[J]. Adv in Diff Equa, 2007,28 (12):1.
  • 4Xue Yanfang,Tang Chunlei. Existence of a periodic solutions for subquadratic second order discrete Hamiltonian systems [J]. Nonlinear Anal, 2007,67 (7) : 2072.
  • 5Zhao Fukun,Wu Xian. Existence of periodic solutions for non-autonomous second order systems with linear nonlinearity [J]. Nonlinear Anal, 2005,60(7) : 325.
  • 6Xia Liu,Yuanbiao Zhang,Haiping Shi.??Nonexistence and existence results for a class of fourth‐order difference Dirichlet boundary value problems(J)Math. Meth. Appl. Sci. . 2015 (4)
  • 7Rabinowitz P H.Minimax methods in critical point theory with applications to differential equations. CBMS Regional Conf Series in Math . 1986
  • 8Ravi P. Agarwal,Fu-Hsiang Wong.Upper and lower solutions method for higher order discrete boundary value problems. Math. Inequal. Appl . 1998
  • 9Xia Liu,Yuanbiao Zhang,Haiping Shi,Xiaoqing Deng.??Periodic solutions for fourth‐order nonlinear functional difference equations(J)Math. Meth. Appl. Sci. . 2015 (1)
  • 10Zhou,Z,Yu,JS,Chen,YM.Periodic solutions of a 2nth-Order nonlinerdifference equation. .

引证文献3

二级引证文献8

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