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.

Nonoscillation Results for a Class of Third Order Nonlinear Differential Equations

  • Received Date: 2001-08-28
  • Publish Date: 2002-10-15
  • Sufficient conditions for the nonoscillatory solutions of a class of third order nonline ardifferential equations are presented. The results obtained generalize some criteria given by Parhi. In some special cases,some of these results contain weaker conditions.
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  • [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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