New Results for the Investigation of the Asymptotic Behavior of Solutions of Nonlinear Perturbed Differential Equations

Author:

Moaaz Osama12ORCID,Albalawi Wedad3

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

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

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

Abstract

This study focuses on investigating the oscillatory properties of a particular class of perturbed differential equations in the noncanonical case. Our research aims to establish more effective criteria for evaluating the absence of positive solutions to the equation under study and subsequently investigate its oscillatory behavior. We also perform a comparative analysis, contrasting the oscillation of the studied equation with another equation in the canonical case. To achieve this, we employ the Riccati technique along with other methods to obtain several sufficient criteria. Furthermore, we apply these new conditions to specific instances of the considered equation, assessing their performance. The significance of our work lies in its extension and broadening of the existing body of literature, contributing novel insights into this field of study.

Funder

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference39 articles.

1. Neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion;Alnafisah;Evol. Equ. Control Theory,2022

2. COVID-19 deterministic and stochastic modelling with optimized daily vaccinations in Saudi Arabia;Omar;Results Phys.,2021

3. Numerical methods for solving the home heating system;Saeed;Adv. Dyn. Syst. Appl.,2020

4. Magnetic field influence of Photo-Mechanical-Thermal waves for optically excited microelongated semiconductor;Saeed;Mathematics,2022

5. Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions;Cubiotti;J. Nonlinear Var. Anal.,2022

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