Sharp oscillation criteria for second‐order neutral delay differential equations | Zendy

Bohner Martin | Zendy; Grace Said R. | Zendy; Jadlovská Irena | Zendy

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Sharp oscillation criteria for second‐order neutral delay differential equations

Author(s) -

Bohner Martin,

Grace Said R.,

Jadlovská Irena

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6677

Subject(s) - oscillation (cell signaling) , mathematics , continuation , constant (computer programming) , a priori and a posteriori , delay differential equation , mathematical analysis , order (exchange) , work (physics) , differential equation , linear differential equation , physics , computer science , philosophy , genetics , epistemology , finance , economics , biology , programming language , thermodynamics

This paper is a continuation of a recent work by the authors on the oscillatory properties of second‐order half‐linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.

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