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

Journal of inequalities and applications

article

Shyam Sundar Santra¹  Hammad Alotaibi²  Omar Bazighifan³ 

[1] Department of Mathematics, JIS College of Engineering;Department of Mathematics, Faculty of Science, Taif University;Department of Mathematics, Faculty of Science, Hadhramout University;Department of Mathematics, Faculty of Education, Seiyun University

关键词: Oscillation;    Non-oscillation;    Delay;    Neutral;    Lebesgue’s Dominated Convergence theorem;    Necessary and sufficient conditions;   

DOI  :  10.1186/s13660-020-02523-5

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY