On the qualitative behavior of the solutions to second-order neutral delay differential equations

被引：0
作者：
Shyam Sundar Santra
Hammad Alotaibi
Omar Bazighifan
机构：
[1] JIS College of Engineering,Department of Mathematics
[2] Taif University,Department of Mathematics, Faculty of Science
[3] Hadhramout University,Department of Mathematics, Faculty of Science
[4] Seiyun University,Department of Mathematics, Faculty of Education
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Oscillation; Non-oscillation; Delay; Neutral; Lebesgue’s Dominated Convergence theorem; Necessary and sufficient conditions;
D O I：
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摘要：
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.
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