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}
}
  • Jiaowan Luo, L. Debnath
  • Published 1 December 1999
  • Mathematics
  • Journal of Mathematical Analysis and Applications
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). 
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18 Citations

Oscillation of Even Order Nonlinear Differential Equations with Impulses
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
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
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
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
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
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
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
A survey on oscillation of impulsive delay differential equations
OSCILLATIONS OF EVEN ORDER LINEAR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS
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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Some of the more important and useful tests for the oscillation of the second order scalar linear differential equation $y'' + qy = 0$ are given by the classical Fite–Wintner theorem and its…
Oscillations of Second Order Nonlinear ODE with Impulses
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