# Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses☆

@article{Luo1999OscillationsOS, title={Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses☆}, author={Jiaowan Luo and Lokenath Debnath}, journal={Journal of Mathematical Analysis and Applications}, year={1999}, volume={240}, pages={105-114} }

Abstract This paper deals with the oscillations of second-order nonlinear ordinary differential equations with impulses. Our results generalize and improve the recent results of Y. S. Chen and W. Z. Feng ( J. Math. Anal. Appl. 210 (1997), 150–169).

## 18 Citations

Oscillation of Even Order Nonlinear Differential Equations with Impulses

- Mathematics, Physics
- 2007

In this paper, we study the oscillatory behavior of an even order differential equation with impulses. Oscillation critera are established. In addition, examples show that impulses play an important…

OSCILLATIONS OF A HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES

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- 2010

Abstrac t . Impulsive differential equations are important in simulation of processes with jump conditions. Although there are quite a few studies on the oscillation properties of low order…

Oscillations of solutions of second order quasilinear differential equations with impulses

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- 2007

Some Kamenev-type oscillation criteria are obtained for a second order quasilinear damped differential equation with impulses. These criteria generalize and improve some well-known results for second…

A Survey on Oscillation of Impulsive Ordinary Differential Equations

- Mathematics
- 2010

This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several…

Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

- Mathematics
- 2010

Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order…

Oscillations of even order half-linear impulsive delay differential equations with damping

- Mathematics
- 2015

In this paper, a kind of half-linear impulsive delay differential equations with damping is studied. By employing a generalized Riccati technique and the impulsive differential inequality, we derive…

Oscillation of Even Order Nonlinear Di ¤ erential Equations with Impulses

- Mathematics, Physics
- 2007

In this paper, we study the oscillatory behavior of an even order di¤erential equation with impulses. Oscillation critera are established. In addition, examples show that impulses play an important…

Oscillations of second order impulses nonlinear FDE with forcing term

- Mathematics, PhysicsAppl. Math. Comput.
- 2008

A survey on oscillation of impulsive delay differential equations

- MathematicsComput. Math. Appl.
- 2010

OSCILLATIONS OF EVEN ORDER LINEAR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS

- Mathematics
- 2010

In this paper, we devote to investigation of even order impulsive delay differential equations, new oscillation criteria for every solution of equations are established.

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