On Oscillatory and Asymptotic Behavior of Higher Order Neutral Differential Equations with Impulsive Conditions

In the present article, we considered a class of n th order impulsive neutral differential equations. The study on the oscillatory and asymptotic behavior of solutions for the higher-order neutral differential equation is theoretical and practical. Various techniques appeared for these studies. We r...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2021-08, Vol.7 (4), Article 155
Main Authors: Raheem, A., Afreen, A., Khatoon, A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Asymptotic properties
Computational mathematics
Computational Science and Engineering
Differential equations
Mathematical analysis
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Summary:In the present article, we considered a class of n th order impulsive neutral differential equations. The study on the oscillatory and asymptotic behavior of solutions for the higher-order neutral differential equation is theoretical and practical. Various techniques appeared for these studies. We reduced this class into a class of non-impulsive neutral differential equations by using suitable substitutions. Through a comparison strategy involving first-order differential equations, we studied the oscillatory and asymptotic behavior of solutions. Sufficient conditions are obtained for asymptotic as well as oscillatory bounded solutions. Several examples have illustrated the effectiveness of the requirements.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-021-01092-5