Oscillation Criteria of Solutions of Third Order Neutral Integro-Differential Equations

Abed, Taghreed Hussein; Ketab, Sattar Naser; Mohamad, Hussain Ali

doi:10.24996/ijs.2021.62.10.22

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2023

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“…Differential equations are one of the most important topics in mathematics due to their many applications [1][2][3]. NDEs represent one of these equations that have been of interest to many researchers, especially in the subject of oscillation and the behavior of the solution (see [4][5][6][7][8]). The oscillation properties of systems of differential equations, whether they are ordinary, delay, neutral, difference equations, or dynamic equations is the main concern of study (see [9][10]).…”

Section: Introductionmentioning

confidence: 99%

Almost Oscillatory Solutions of a Three-Dimensional Half-Linear Neutral differential System of the Second Order

Naeif

Mohamad

2023

JUBPAS

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In this research, the oscillation and the asymptotic behavior of a half-linear three-dimensional neutral differential system of the second order have been studied, where all the non-oscillating solutions have been classified into 16 different classes, and then sufficient conditions were given to prove that most of these classes are inactive and non-occurring, that is empty, as for the rest classes, it has been proven that all its bounded solutions, either oscillating or non-oscillating, converge to zero when , and all unbounded solutions, are either oscillating or non-oscillating, goes to as . Some examples are given to illustrate the obtained results

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