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一类具时滞的Rayleigh型泛函微分方程反周期解的存在性(英文) 被引量：1

The Existence of Anti-periodic Solutions to a Rayleigh-type Functional Differential Equation with a Deviating Argument
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摘要 应用Leray Schauder不动点定理,研究了一类具时滞的Rayleigh型泛函微分方程: x″(t)+f(x′(t))+g(x(t-τ(t)))=e(t)的反周期解问题,得到了反周期解存在的新的结果。 By means of Leray Schauder fixed point theorem,the authors study a Rayleigh type functional differential equation with a deviating argument as follows：x″（t）＋f（x′（t））＋g（x（t- T（t）））=e（t）.A new result on the existence of anti-periodic solution is obtained.
作者 梁峰 鲁世平 韩茂安
机构地区 上海师范大学数理学院 安徽师范大学数计学院
出处 《数学研究》 CSCD 2009年第3期256-261,共6页 Journal of Mathematical Study
基金 supported by Young Teacher's Foundation of Anhui Normal University(2008xqn46) Ministry of Education of Science and Technology of Important Projects(207047) Natural Science Foundationof Anhui Province of China(050460103)
关键词 反周期解 Rayleigh型方程 LERAY Schuder不动点定理 时滞变量 anti-periodic solution Rayleigh equation Leray Schauder fixed point theorem deviating argument
分类号 O175.12 [理学—基础数学]
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参考文献12

  • 1Chen Y,Wang X,Xu H.Anti-periodic solutions for semilinear evolution equations.J.Math.Anal.Appl.,2002,273(2):627-636.
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同被引文献5

  • 1Bingwen Liu. Anti-periodic solutions forforced Rayleigh-type equations [J]. Nonlinear Analysis: Real Word Application, 2009(5).
  • 2Hong Gao, etc. periodic solutions equations [J]. Applied 2009 (1). Existence and for forced uniqueness of Rayleigh-type Mathema tics and Computat ions,.
  • 3Qiyi Fan, etc. Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays[J]. Journal of Computation and Applied Mathematics, 2009(2).
  • 4Xiang Lv, etc. Anti-periodic solutions for a class for nonlinear second-order Rayleigh equations with delays[J]. Commu Sci Numer Simulat, 2010(11).
  • 5LMawhin. An extension of a theorem of A.C. Lazer on forced nonlinear oscillations[J]. Journal of Mathematical Analysis and Applications, 1972(40).

引证文献1

数学研究
2009年 第3期

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