A necessary and sufficient condition for the oscillation of higher-order neutral equations

DOI10.2748/tmj/1178227728zbMath0684.34068OpenAlexW2027059039MaRDI QIDQ1825355

Zhicheng Wang

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227728

zbMATH Keywords

characteristic equationhigher-order neutral delay differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items

On oscillation of neutral delay differential equations, Oscillations of second order neutral functional differential equations, Oscillations of higher order neutral differential equations of mixed type, Oscillation of higher-order neutral-type periodic differential equations with distributed arguments, Oscillations of second-order neutral impulsive differential equations, Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type, Eventually positive solutions of odd-order neutral differential equations., The advancement of oscillation theory of functional-differential equations, Oscillation of odd order neutral differential equations, Oscillation of odd order neutral delay differential equation, Eventually positive solutions to odd order neutral differential equations

Cites Work

• Differential-difference equations
• Necessary and sufficient conditions for oscillations of neutral differential equations
• Necessary and sufficient conditions for oscillations of neutral equations with several coefficients
• Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients
• Theory of functional differential equations. 2nd ed
• Existence and continuous dependence of solutions of a neutral functional- differential equation
• Asymptotic stability criteria for linear systems of difference- differential equations of neutral type and their discrete analogues
• Necessary and Sufficient Conditions for Oscillations
• Oscilations of higher-order neutral equations
• On Delay Differential Inequalities of Higher Order