Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay

By refining the standard Riccati substitution technique, integral averaging technique and comparison principle, we obtain new oscillation and asymptotic behavior for a class of third-order neutral differential equations with discrete and distributed delay. These criteria dealing with some cases have...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 4; pp. 3851 - 3874
Main Authors Sathish Kumar, M., Ganesan, V.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
delay
differential equation
neutral
oscillation
third order
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Summary:By refining the standard Riccati substitution technique, integral averaging technique and comparison principle, we obtain new oscillation and asymptotic behavior for a class of third-order neutral differential equations with discrete and distributed delay. These criteria dealing with some cases have not been covered by the existing results in the literature. We present many sufficient conditions and related examples in order to illustrate the main results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020250