New Oscillation Criteria for Second Order Half-Linear Neutral Type Dynamic Equations on Time Scales
New Oscillation Criteria for Second Order Half-Linear Neutral Type Dynamic Equations on Time Scales作者机构：Department of Mathematics Faculty of Education and Applied Sciences Amran University Amran Yemen Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2021年第9卷第9期
页 面：2376-2398页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Dynamic Equation Oscillatory Solutions Neutral Deviating Arguments
摘 要：In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.
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