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On the qualitative behavior of the solutions to second-order neutral delay differential equations
Journal of Inequalities and Applications ( IF 1.6 ) Pub Date : 2020-12-07 , DOI: 10.1186/s13660-020-02523-5
Shyam Sundar Santra , Hammad Alotaibi , Omar Bazighifan

Differential equations of second order appear in numerous applications such as fluid dynamics, electromagnetism, quantum mechanics, neural networks and the field of time symmetric electrodynamics. The aim of this work is to establish necessary and sufficient conditions for the oscillation of the solutions to a second-order neutral differential equation. First, we have taken a single delay and later the results are generalized for multiple delays. Some examples are given and open problems are presented.

中文翻译:

二阶中立型时滞微分方程解的质性行为

二阶微分方程出现在许多应用中,例如流体动力学,电磁学,量子力学,神经网络和时间对称电动力学领域。这项工作的目的是为二阶中立型微分方程的解的振动建立必要和充分的条件。首先,我们采用了一个延迟,然后将结果推广为多个延迟。给出了一些例子,并提出了未解决的问题。
更新日期:2020-12-07
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