Open AccessThird-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior
Author(s) -
Belgees Qaraad,
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Osama Moaaz,
Dumitru Băleanu,
Shyam Sundar Santra,
Ramzan Ali,
Elmetwally M. Elabbasy,
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Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022077
Subject(s) - third order , mathematics , type (biology) , order (exchange) , oscillation (cell signaling) , differential equation , class (philosophy) , transformation (genetics) , riccati equation , delay differential equation , differential (mechanical device) , work (physics) , ordinary differential equation , mathematical analysis , computer science , physics , thermodynamics , economics , gene , ecology , philosophy , biochemistry , genetics , chemistry , theology , finance , artificial intelligence , biology
In this work, by using both the comparison technique with first-order differential inequalities and the Riccati transformation, we extend this development to a class of third-order neutral differential equations of the mixed type. We present new criteria for oscillation of all solutions, which improve and extend some existing ones in the literature. In addition, we provide an example to illustrate our results.