Differential equations of the neutral delay type: More efficient conditions for oscillation-Reference-Cited by-同舟云学术

Differential equations of the neutral delay type: More efficient conditions for oscillation

Published:2023 Issue:6 Volume:8 Page:12729-12750
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Moaaz Osama¹²,Albalawi Wedad³

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

3. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

<abstract><p>In this article, we derive an optimized relationship between the solution and its corresponding function for second- and fourth-order neutral differential equations (NDE) in the canonical case. Using this relationship, we obtain new monotonic properties of the second-order equation. The significance of this paper stems from the fact that the asymptotic behavior and oscillation of solutions to NDEs are substantially affected by monotonic features. Based on the new relationships and properties, we obtain oscillation criteria for the studied equations. Finally, we present examples and review some previous theorems in the literature to compare our results with them.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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