论文信息 - Oscillation for higher order nonlinear ordinary differential equations with impulses.

Oscillation for higher order nonlinear ordinary differential equations with impulses.

In this paper, we study the oscillation of solutions to higher order nonlinear ordinary dierential equations with impulses. Several criteria for the oscillations of solutions are given. We find some suitable impulse functions such that all solutions are oscillatory under the impulse control.

Chaolong Zhang | Weizhen Feng

[1] I. V. Kamenev. A criterion for the oscillation of solutions of second-order ordinary differential equations , 1970 .

[2] F. V. Atkinson,et al. On second-order non-linear oscillations , 1955 .

[3] I. V. Kamenev. Some specifically nonlinear oscillation theorems , 1971 .

[4] V. Lakshmikantham,et al. Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[5] Chunchao Huang,et al. Oscillation and Nonoscillation for Second Order Linear Impulsive Differential Equations , 1997 .

[6] 冯伟贞. OSCILLATIONS OF FOURTH ORDER ODE WITH IMPULSES , 2003 .

[7] Amir Moradifam,et al. Oscillation of solutions of second-order nonlinear differential equations of Euler type , 2007 .

[8] Chen Yong-shao,et al. Oscillations of Second Order Nonlinear ODE with Impulses , 1997 .

[9] G. Butler,et al. Integral Averages and the Oscillation of Second Order Ordinary Differential Equations , 1980 .

[10] J. Wong,et al. A Note on Second Order Nonlinear Oscillation , 1968 .

[11] B. S. Lalli,et al. Oscillation theorems for second order nonlinear differential equations , 1987 .

[12] C. Philos,et al. Oscillation theorems for linear differential equations of second order , 1989 .