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Liénard方程反周期解的存在性 被引量：6

The Existence of Anti-periodic Solutions for Liénard Equations
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摘要 利用度理论研究了二阶Liénard方程反周期解的存在性和二阶Duffing方程具有对称性的反周期解的存在性,改进了一些已有的结果. In this paper, the existence of anti-periodic solutions for second order Liénard equations and symmetric anti-periodic solutions for second order Dulling equations are studied by using degree theory. Some known results are improved.
作者 陈太勇 刘文斌 张建军 章美月
机构地区 中国矿业大学理学院
出处 《数学研究》 CSCD 2007年第2期187-195,共9页 Journal of Mathematical Study
基金 中国矿业大学青年科研基金(A2004A03 2005A041 2006A042)
关键词 LIÉNARD方程 DUFFING方程 反周期解 LERAY-SCHAUDER度 Liénard equations duffing equations anti-periodic solutions leray-Schauder degree
分类号 O175 [理学—基础数学]
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参考文献1

二级参考文献8

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同被引文献46

  • 1H.L. Chen(Institute of Mathematics, Academia Sinica, Beijing).ANTIPERIODIC WAVELETS[J].Journal of Computational Mathematics,1996,14(1):32-39. 被引量：5
  • 2SHAO J, WANG L, YU Y, et al. Periodic Solutions for a kind of Lienard Equation with a Deviating Argument[J]. Journal of Computational and Applied Mathematics, 2009, 228: 174-181.
  • 3LIU B, HUANG L. Existence and Uniqueness of Periodic Solutions for a kind of Li6nard Equation with a Deviating Argument[J]. Applied Mathematics Letters, 2008, 2I(1): 56-62.
  • 4ZHOU Q, LONG F. Existence and Uniqueness of Periodic Solutions for a kind of Lienard Equation with two Deviating Arguments[J].Journal of Computational and Applied Mathematics, 2007, 206 : 1127-1136.
  • 5LU S, GE W. Periodic Solutions for a kind of Second Order Differential Equation with Multiple Deviating Arguments [J]. Applied Mathematics and Computation, 2003, 146: 195-209.
  • 6LIU B. Anti-periodic Solutions for Forced Rayleigh-type Equations[J]. Nonlinear Analysis: Real World Applications, 2009, 10: 2850-2856.
  • 7CHEN Y, NIETO j J, OREGAN D. Anti-periodic Solutions for Fully Nonlinear First-order Differential Equations[j ]. Mathematical and Computer Modelling, 2007, 46: 1183-1190.
  • 8WU R. An Anti-periodic LaSalle Oscillation Theorem[J ]. Applied Mathematics Letters, 2008, 21 : 928-933.
  • 9LIU B. An Anti-periodic LaSalle Oscillation Theorem for a class of Functional Differential Equations[J ]. Joumat of Computational and Applied Mathematics, 2009, 223: 1081-1086.
  • 10DEIMLING K. Nonlinear Functional Analysis[ M]. New York: Springer-Verlag, 1985.

引证文献6

二级引证文献13

数学研究
2007年 第2期

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