Monotonic and Asymptotic Properties of Solutions of Emden-Fowler Neutral Differential Equations and Their Applications

Authors

Osama Moaaz, Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptFollow
Shatha Qandos, Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaFollow
Renad Alqefari, Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaFollow
Razan Alrusainy, Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaFollow

Author Country (or Countries)

Egypt

Abstract

The objective of this work is to improve the relationships between the solutions of neutral differential equations and their corresponding functions in the classical case. We use these relationships to optimize the conditions that test the oscillation of solutions to Emden-Fowler neutral differential equations. We consider both cases p < 1 and p > 1. In the case p > 1, we test the oscillation of the solutions without imposing the conventional constraints on the delay functions. The approach adopted depends on deducing new properties for the positive solutions of the studied equation, and these properties are of an iterative nature. The iterative nature of properties helps to create relationships and conditions that can be used more than once. By applying the results to special cases of the studied equation, we can clarify the importance of the new results and compare them with the relevant previous results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170319

Recommended Citation

Moaaz, Osama; Qandos, Shatha; Alqefari, Renad; and Alrusainy, Razan (2023) "Monotonic and Asymptotic Properties of Solutions of Emden-Fowler Neutral Differential Equations and Their Applications," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 19.
DOI: http://dx.doi.org/10.18576/amis/170319
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/19