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

Author:

Santra Shyam Sundar,Alotaibi Hammad,Bazighifan OmarORCID

Abstract

AbstractDifferential 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference36 articles.

1. Brands, J.J.M.S.: Oscillation theorems for second-order functional-differential equations. J. Math. Anal. Appl. 63(1), 54–64 (1978)

2. Baculikova, B., Dzurina, J.: Oscillation theorems for second order neutral differential equations. Comput. Math. Appl. 61, 94–99 (2011)

3. Chatzarakis, G.E., Dzurina, J., Jadlovska, I.: New oscillation criteria for second-order half-linear advanced differential equations. Appl. Math. Comput. 347, 404–416 (2019)

4. Chatzarakis, G.E., Jadlovska, I.: Improved oscillation results for second-order half-linear delay differential equations. Hacet. J. Math. Stat. 48(1), 170–179 (2019)

5. Džurina, J.: Oscillation theorems for second order advanced neutral differential equations. Tatra Mt. Math. Publ. 48, 61–71 (2011)

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