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三阶拟线性微分方程的振动性 被引量：2

Oscillation of Third-order Quasilinear Differential Equation
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摘要 讨论了一类三阶拟线性微分方程在特殊条件下的一种特殊正解存在的充分必要条件. This paper deals with a special no-oscillatory solution of the third order quasilinear differential equation and gives the necessary and sufficient conditions where the equation has specific no-oscillatory solutions.
作者 汪金燕 宋贽
机构地区 北方民族大学信息与计算科学学院 沈阳农业大学理学院
出处 《重庆工学院学报（自然科学版）》 2008年第8期76-78,共3页 Journal of Chongqing Institute of Technology
基金 宁夏自然科学基金资助项目(NZ0676) 北方民族大学校内科研基金资助项目(2006Y034)
关键词 非振动解 存在性 Schauder-Tychonoff不动点定理 no-oscillatory solution existence behavior Schauder-Tychonoff fixed point theorem
分类号 O175.1 [理学—基础数学]
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参考文献6

  • 1[1]Atkinson F V.On second-order nan-linear oscillations[J].Amer J Math,1954:643-647.
  • 2[2]Kusano T,Naito Y.Oscillation and nonoseillaton criteria for second order quaailinear differential equations[J].Acta Math,1997,76(1/2):81-89.
  • 3[3]Tanigawa.Asymptic analysis of positive solution to second order quasilinear ordinary differential equations on infinite intervals[D].Fukuoka:Fukuoka University,1999.
  • 4[4]Fentao Wu.Oscillation theory for fourth-order quasilinear differential equations and Four-dimensional differential systems[D].Ehime:Ehime University,2001.
  • 5汪金燕.一类三阶拟线性微分方程非振动解的存在性[J].西北师范大学学报（自然科学版）,2008,44(4):6-9. 被引量：5
  • 6汪金燕.一类三阶非线性微分方程最终正解的存在性[J].重庆工学院学报（自然科学版）,2008,22(6):144-147. 被引量：4

二级参考文献10

  • 1[1]Kusano T,Naito M.Nonlinear oscillation of fourth order differential equations[J].Can J Math,1976,28:840-852.
  • 2[2]Kitamura Y.Characterization of oscillation of fourth order functional differential equations with deviating arguments[J].Ann Mat Pura Appl,1980,124:345-365.
  • 3[3]Wu F.Nonoscillatory solutions of fourth order quasilinear differential equations[J].Funkcial Ekvac,2002,45:71-88.
  • 4[4]Natio M,Wu F.A note on the existence and asymptotic behavior of nonoscillatory solution of fourth order quasilinear differential equation[J].Acta Math Hungar,2004,102:177-202.
  • 5[5]Wu F.Oscillation theory for fourth-order quasilinear differential equations and four-dimensional differential systems[M].[S.I.]:Dissertation,Ehime Univ,2001.
  • 6[6]Tanigawa.Asymptic analysis of positive soltion to second order quasilinear ordinary differential equations on infinite intervals[M].[S.I.]:Dissertation,Fukuoka Univ,1999.
  • 7ELBERT A. Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations [ M ] //Ordinary and Partial Differential Equations (Lecture Notes in Math, No 1964). Berlin, Heidelberg, New York: Springer Verlag, 1982:187 212.
  • 8WU Fen- tao. Nonoscillatory solutions of fourth order quasilinear differential equations[J]. Funkcial Ekvac, 2002, 4S: 71-88.
  • 9MIRZOV D D. Ability of the solutions of a system of nonlinear differential equations to oscillate[J]. Math Notes, 1974, 16:932-935.
  • 10TANIGAWA. Asymptotic Analysis of Positive Solution to Second Order Quasilinear Ordinary Differential Equations on Infinite Intervals [D]. Fukuoka, Japan: Fukuoka Univ, 1999.

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重庆工学院学报（自然科学版）
2008年 第8期

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