OSCILLATION OF SECOND-ORDER NONLINEAR NEUTRAL DYNAMIC EQUATIONS WITH MIXED ARGUMENTS ON TIME SCALES

AGWA, H. A. and KHODIER, AHMED M. M. and ARAFA, HEBA M. (2016) OSCILLATION OF SECOND-ORDER NONLINEAR NEUTRAL DYNAMIC EQUATIONS WITH MIXED ARGUMENTS ON TIME SCALES. Journal of Basic and Applied Research International, 17 (1). pp. 49-66.

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Abstract

In this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second-order nonlinear neutral dynamic equation with mixed arguments

(r(t)[(x(t) +p1(t)x(η1(t)) +p2(t)x(η2(t)))∆]γ)∆+f(t,x(τ1(t))) +g(t,x(τ2(t))) = 0,

on a time scale T. Our results improve and extend some results of Tao Ji et al. [1]. Also, our results unify the oscillation of second order nonlinear neutral di erential and di erence equations. Finally, we give some examples to illustrate our results.

Item Type: Article
Subjects: Research Asian Plos > Multidisciplinary
Depositing User: Unnamed user with email support@research.asianplos.com
Date Deposited: 09 Jan 2024 05:14
Last Modified: 09 Jan 2024 05:14
URI: http://archiv.manuscptsubs.com/id/eprint/2287

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