一类二阶非线性微分方程的振动定理(英文)

  • 王友雨 ,
  • 王培光
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  • 1.河北大学,数学与计算机学院,河北,保定,071002; 2.河北大学电子与信息工程学院,河北,保定,071002

网络出版日期: 2002-05-25

基金资助

河北省自然科学基金

Oscillation Theorems of Second Order Nonlinear Differential Equations

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Online published: 2002-05-25

摘要

讨论了一类二阶非线性微分方程.利用一般的Riccati变换和完全平方技术,得到了方程新的振动准则.结果推广并加强了已有的一些振动准则.

本文引用格式

王友雨 , 王培光 . 一类二阶非线性微分方程的振动定理(英文)[J]. 河北大学学报(自然科学版), 2002 , 22(2) : 114 -117 . DOI: 10.3969/j.issn.1000-1565.2002.02.003

Abstract

The authors discuss a class of second order nonlinear differential equations. By using the generalized Riccati transformation and the integral averaging technique, new osciallation criteria are obtained for all solutions of the equations to be oscilltory. Our results generalized and extend some known oscillation criteria in the literature.

参考文献

[1] El - SHEIKH M M A. Oscillation and non-os, cillation criteria for second order non-linear differential equations [J]. Journal of Mathematical Analysis and Applications 1993, 179.
[2] PHILOS GH G. Oscillation theorems for linear differential equations of second order [J]. Archives of Mathematics(Basel) 1989, 53(53).
[3] Yan J. Oscillation theorems for second order linear differential equation with damping [J]. Proceedings of the American Mathematical Society 1988, 98.
[4] C- C YEH. An oscillation criterion for second order non-linear differential equations with functional argument [J]. Journal of Mathematical Analysis and Applications 1980, 76.
[5] ELABBASY E M, ELSHARABASY M A. Oscillation properties for second order nonlinear differential equations [J]. Kyungpook Mathematical Journal 1997, 37.
[6] Li HJ.. OSCILLATION CRITERIA FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS [J]. Journal of Mathematical Analysis and Applications 1995, 1(1).
[7] Kirane M., Rogovchenko YV.. On oscillation of nonlinear second order differential equation with damping term [J]. Applied mathematics and computation 2001, 2/3(2/3).
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