Oscillation criteria for nonlinear differential equations with damping

被引：8

作者：

Yang, Xiaojing ^{[1
]}

机构：

[1] Department of Mathematics, Tsinghua University

来源：

Applied Mathematics and Computation (New York) | 2003年 / 136卷 / 2-3期

关键词：

Damping; Nonlinear differential equations; Oscillation criteria;

D O I：

10.1016/S0096-3003(02)00079-6

中图分类号：

学科分类号：

摘要：

The oscillation criteria for nonlinear differential equations with damping was investigated. The oscillation behavior of solutions of second order nonlinear differential equation was examined for the purpose. A solution having arbitary large zeroes was defined to be oscillatory. The generalized Riccati transformation was used to obtain the oscillation criteria for all solutions of the nonlinear equation.

引用

页码：549 / 557

页数：8

共 8 条

[1]

Wintner A., A criterion of oscillatory stability, Quart. Appl. Math., 7, pp. 115-117, (1949)

[2]

Hartman P., On nonoscillatory linear differential equations of second order, Amer. J. Math., 74, pp. 389-400, (1952)

[3]

Kamenev I., Integral criteria of linear differential equations of second order, Math. Zametki, 23, pp. 249-251, (1978)

[4]

Kong Q., Interval criteria for oscillation of second order linear ordinary differential equations, J. Math. Anal. Appl., 229, pp. 258-270, (1999)

[5]

Li H., Oscillation critria for second order linear differential equations, J. Math. Anal. Appl., 194, pp. 217-234, (1995)

[6]

Philos Ch., Oscillation theorems for linear differential equations of second order, Arch. Math. (Basel), 53, pp. 482-492, (1995)

[7]

Li W., Agarwal R., Interval oscillation criterion for second order nonlinear differential equations with damping, Comp. Math. Appl., 40, pp. 217-230, (2000)

[8]

Hartman P., Ordinary Differential Equations, (1964)

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