On oscillatory second order impulsive neutral difference equations

Gokula Nanda Chhatria; Gokula Nanda Chhatria

doi:10.3934/math.2020161

AIMS Mathematics

2020, Volume 5, Issue 3: 2433-2447. doi: 10.3934/math.2020161

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Research article

On oscillatory second order impulsive neutral difference equations

Gokula Nanda Chhatria ^,

Department of Mathematics, Sambalpur University, Sambalpur-768019, India

Received: 12 October 2019 Accepted: 01 March 2020 Published: 06 March 2020
MSC : 39A10, 39A12, 39A21

The present paper deals with the problem of oscillation for a class of second order nonlinear neutral impulsive difference equations with fixed moments of impulse effect. The technique employed here is due to the classical impulsive inequalities. Some examples are given to illustrate our results.
- oscillation,
- nonoscillation,
- impulsive difference equation,
- nonlinear,
- Krasnoselskii’s fixed point theorem
Citation: Gokula Nanda Chhatria. On oscillatory second order impulsive neutral difference equations[J]. AIMS Mathematics, 2020, 5(3): 2433-2447. doi: 10.3934/math.2020161

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Abstract

The present paper deals with the problem of oscillation for a class of second order nonlinear neutral impulsive difference equations with fixed moments of impulse effect. The technique employed here is due to the classical impulsive inequalities. Some examples are given to illustrate our results.

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