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一类泛函差分方程的正周期解存在性 被引量：2

Existence of positive periodic solutions for a functional difference equation
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摘要 利用Krasonoselskii不动点定理,得到了一类非线性泛函差分方程至少有1个或至少有2个正周期解的充分条件. By using Krasonoselskii＇s fixed point theorem, some sufficient conditions are obtained for the existence of at least one or at least two positive T - periodic solutions for a functional difference equation.
作者 杨莉 李永昆
机构地区 云南大学数学系
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第1期16-20,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10361006)
关键词 不动点定理 正周期解 泛函差分方程 fixed point theorem positive periodic solution functional difference equation
分类号 O175.14 [理学—基础数学]
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共引文献19

同被引文献22

  • 1陈金海,李维国,沈祖和.一类高阶常微分方程的共振周期解的存在唯一性[J].数学年刊（A辑）,2007,28(3):339-346. 被引量：2
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  • 3AMBROSETTI A, RABINOWITA P H. Dual variational methods in critical point theory and applications [ J ]. J Funct Anal, 1973,14:349-381.
  • 4Marek Izydorek, Joanna Janczewska. Homoclinic solutions for a class of the second order Hamiltonian systems[ J ]. J Differenti- al Equations,2005,219:375-389.
  • 5TANG X H, XIAO Li. Homoclinic solutions for a class of the second - order Hamiltonian systems [ J ]. Nonlinear Analysis, 2009,71:1 140-1 152.
  • 6TANG X H, XIAO Li. Homoclinic solutions for nonautonomous second - order Hamiltonian systems with a coercive potential [J]. J Math Anal Appl,2009,351:586-594.
  • 7LV Xiang, LU Shi-ping,YAN Ping. Homoclinic solutions for nonautonomous second -order Hamiltonian systems with a coer- cive potential [ J ]. Nonlinear Analysis, 2010,72 : 3 484-3 490.
  • 8ZHANG Zi -heng, YUAN Rong. Homoclinic solutions for a class of non -autonomous subquadratic second -order Hamiltoni- an systems[ J]. Nonlinear Analysis,2009,71:4 125-4 130.
  • 9ZHANG Zi-heng, YUAN Rong. Homoclinic solutions for a class of asymptotically quadratic Hamiltonian systems [ J ]. Nonlinear Analysis: Real World Applications ,2010,11:4 185-4 193.
  • 10ZHOU Zhan, YU Jian-she. On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems [ J ]. J Dif- ferential Equations ,2010,249 : 1 199-1 212.

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云南大学学报（自然科学版）
2009年 第1期

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