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一类三阶非线性微分方程的非振荡解

P. 特牟特克 A. 提耳牙克

P. 特牟特克, A. 提耳牙克. 一类三阶非线性微分方程的非振荡解[J]. 应用数学和力学, 2002, 23(10): 1041-1046.
引用本文: P. 特牟特克, A. 提耳牙克. 一类三阶非线性微分方程的非振荡解[J]. 应用数学和力学, 2002, 23(10): 1041-1046.
Pakize Temtek, Aydn Tiryaki. Nonoscillation Results for a Class of Third Order Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1041-1046.
Citation: Pakize Temtek, Aydn Tiryaki. Nonoscillation Results for a Class of Third Order Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1041-1046.

一类三阶非线性微分方程的非振荡解

详细信息
  • 中图分类号: O175.12

Nonoscillation Results for a Class of Third Order Nonlinear Differential Equations

  • 摘要: 给出了一类三阶非线性微分方程存在非振荡解的充分条件,使得Parhi准则更加一般化.在一些特殊情况下,这些结论适合于更弱的条件.
  • [1] Gregu M. Third Order Linear Differential Equations[M]. Dordrecht,Boston,Lancaster:D Reidel Publishing Company,1987.
    [2] Swanson C A. Comparison and Oscillation Theory of Linear Differential Equations[M]. New York:A P,1968.
    [3] Birkhoff G D. On solutions of the ordinary linear differential equations of the third order[J]. Ann Math,1911,12:103-127.
    [4] Gregu M. On some properties of the solutions of a homogeneous linear differential equation of the third order[J]. Mat Fiz Casopis Slovensk Akad Vied,1955,5:73-78.
    [5] Hanan M. Oscillation criteria for third order linear differential equations[J]. Pacific J Math,1961,11:919-944.
    [6] Philos Ch G. Oscillation and asymptotic behaviour of third order differential equations[J]. Bull Inst Math Acad Sinica,1983,11(2):141-160.
    [7] Parhi N. Nonoscillation of solutions of a class of third order differential equations[J]. Acta Math Hungar,1989,54(1-2):79-88.
    [8] Cecchi M,Dǒsl Z,Marini M. On the qualitative behaviour of solutions of third order differential equations[J]. J Math Anal Appl,1996,197(3):749-766.
    [9] Erbe L. Existence of oscillatory solutions and asymptotic behaviour for a class of third order linear differential equations[J]. Pacific J Math,1976,64(2):369-385.
    [10] Heidel J W. Qualitative behaviour of solutions of a third order nonlinear differential equation[J]. Pacific J Math,1968,27:507-526.
    [11] Parhi N. Nonoscillatory behaviour of solutions of nonhomogeneous third order differential equations[J]. Applicable Analysis,1981,12(4):273-285.
    [12] Parhi N,Parhi S. Oscillation and nonoscillation theorems for nonhomogeneous third order differential equations[J]. Bulletin Inst Math Academia Sinica,1983,11(2):125-139.
    [13] Parhi N,Parhi S. Nonoscillation and asymptotic behaviour for forced nonlinear third order differential equations[J]. Bulletin Inst Math Academia Sinica,1985,13(4):367-384.
    [14] Parhi N,Parhi S. On the behaviour solutions of the differential equations(r(t)yd)c+q(t)ycB+p(t)yA=f(t)[J]. Annales Polonici Mathematici,1986,47(2):137-148.
    [15] Parhi N,Parhi S. Qualitative behaviour of solutions of forced nonlinear third order differential equations[J]. Riv Math Univ Parma,1987,13(4):201-210.
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出版历程
  • 收稿日期:  2001-08-28
  • 刊出日期:  2002-10-15

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