Oscillatory behaviour of higher order neutral type nonlinear forced differential equation with oscillating coefficients

Abstract

Oscillation criteria are given for higher order neutral type nonlinear forced differential equation with oscillating coefficients of the form

Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients

“…The example given above illustrates the significance of our result because none of the results in [1,4,7,8,9,10] can be applied to (5).…”

“…Results on those type of equations can be found in [1,2,3,5,6,7,8,9] and references cited therein. The case where r is allowed to oscillate is harder to deal with and thus there are very few papers focused on this problem, the readers may find some results in [4,8,10]. Our paper is constructed to improve/extend their results.…”

New Results on Oscillation of even Order Neutral Differential Equations with Deviating Arguments

“…Oscillation of some even order differential equations have been studied by many authors. For instance, see [1][2][3][4][5][6][7] and the references therein. We deal with the oscillatory behavior of the even order neutral differential equations with deviating arguments of the form…”

Oscillatory behavior of higher order nonlinear neutral forced differential equations with oscillating coefficients

“…However, the oscillatory and asymptotic behavior of neutral forced differential equations (1) for the cases when p(t) and s(t) are oscillating received much less attention, which is due mainly to the technical difficulties arising in its analysis. In 2004, Bolat and Akin [8] investigated the oscillation of (1) and obtained the following theorem.…”