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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.