Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior | Zendy

Belgees Qaraad | Zendy; Osama Moaaz | Zendy; Dumitru Băleanu | Zendy; Shyam Sundar Santra | Zendy; Rizwan Ali | Zendy; Elmetwally M. Elabbasy | Zendy

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Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior

Author(s) -

Belgees Qaraad,

Osama Moaaz,

Dumitru Băleanu,

Shyam Sundar Santra,

Rizwan Ali,

Elmetwally M. Elabbasy

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.

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