6533b82ffe1ef96bd12952fe

RESEARCH PRODUCT

Oscillation of Second-Order Neutral Differential Equations

Chenghui ZhangYuri V. RogovchenkoTongxing Li

subject

positive solutionsAlgebra and Number TheoryOscillationMathematical analysisdelayed argumentsoscillationcomparisonControl theoryOrder (group theory)VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411Geometry and Topologyadvanced argumentsNeutral differential equationsneutral differential equationsAnalysisMathematics

description

Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/ We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. Our assumptions allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Two illustrative examples are provided.

yearjournalcountryeditionlanguage
2013-01-01Funkcialaj Ekvacioj
https://doi.org/10.1619/fesi.56.111