Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients

DOI10.1016/S0898-1221(03)00074-9zbMath1052.39015MaRDI QIDQ1827159

Yong Zhou, Bing Gen Zhang

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

bounded solutionnonoscillatory solutionsneutral delay difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

Trichotomy of nonoscillatory solutions to second-order neutral difference equation with quasi-difference ⋮ Existence of uncountably many bounded positive solutions to higher-order nonlinear neutral delay difference equations ⋮ Asymptotic behavior of higher-order neutral advanced difference equations ⋮ Monotonic solutions of a higher-order neutral difference system ⋮ Solvability of a higher-order nonlinear neutral delay difference equation ⋮ Asymptotic behavior of solutions to difference equations of neutral type ⋮ Asymptotic behavior of higher-order neutral difference equations with general arguments ⋮ Approximative solutions to difference equations of neutral type ⋮ Oscillation of a kind of second-order nonlinear neutral difference equations ⋮ Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions ⋮ Necessary and sufficient conditions on the asymptotic behavior of second‐order neutral delay dynamic equations with positive and negative coefficients ⋮ New oscillation criteria for second order linear difference equations with positive and negative coefficients ⋮ Oscillatory and asymptotic properties of solutions of even order neutral difference equations ⋮ Existence of the asymptotically periodic solution to the system of nonlinear neutral difference equations ⋮ Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations

Cites Work

• On the existence of positive solutions of higher order difference equations
• Comparison results and linearized oscillations for higher-order difference equations
• On existence of positive solutions and bounded oscillations for neutral difference equations
• Oscillations of higher-order neutral difference equations
• Oscillation of higher-order nonlinear difference equations of neutral type
• Oscillation and nonoscillation for second-order linear difference equations
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients
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