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

一类三阶非线性微分方程的非振荡解

P. 特牟特克¹,
A. 提耳牙克²

1.
尔塞耶士大学艺术与科学学院, 数学系, 土耳其;
2.
噶热大学, 艺术与科学学院, 数学系, 土耳其

详细信息

中图分类号: O175.12
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出版历程
- 收稿日期: 2001-08-28
- 刊出日期: 2002-10-15

Nonoscillation Results for a Class of Third Order Nonlinear Differential Equations

Pakize Temtek¹,
Aydn Tiryaki²

1.
Department of Mathematics, Faculty of Arts and Science, Erciyes University, 38039, Kayseri, Turkey;
2.
Department of Mathematics, Faculty of Arts and Science, Gazi University, Teknikokullar 06500 Ankara, Turk

摘要

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.
- 微分方程 /
- 非线性 /
- 非振荡解 /
- Parhi准则
Abstract: 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.
- differ ential equation /
- nonlinear /
- nonoscillatory solution /
- Parhi criteria

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参考文献(15)

[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)yc_B+p(t)y^A=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.