New Monotonic Properties for Solutions of Odd-Order Advanced Nonlinear Differential Equations

The present paper studies the asymptotic and oscillatory properties of solutions of odd-order differential equations with advanced arguments and in a noncanonical case. By providing new and effective relationships between the corresponding function and the solution, we present strict and new criteri...

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Bibliographic Details
Published in:Symmetry (Basel) 2024-07, Vol.16 (7), p.817
Main Authors: Al-Jaser, Asma, Qaraad, Belgees, Alharbi, Faizah, Serra-Capizzano, Stefano
Format: Article
Language:English
Subjects:
advanced differential equations
Applied mathematics
Criteria
Differential equations
Engineering
Hypotheses
Inequality
Nonlinear differential equations
Numbers
odd order
oscillation
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Summary:The present paper studies the asymptotic and oscillatory properties of solutions of odd-order differential equations with advanced arguments and in a noncanonical case. By providing new and effective relationships between the corresponding function and the solution, we present strict and new criteria for testing whether the studied equation exhibits oscillatory behavior or converges to zero. Our results contribute uniquely to oscillation theory by presenting some theorems that improve and expand upon the results found in the existing literature. We also provide an example to corroborate the validity of our proposed criteria.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16070817