Infinitely many nonoscillatory solutions for second order nonlinear neutral delay differential equations

DOI10.1016/J.NA.2008.09.013zbMath1172.34042OpenAlexW2002025751MaRDI QIDQ1015135

Kang, Shin Min, Liu, Zeqing

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.09.013

zbMATH Keywords

contraction mappingMann iterative sequence with errorsinfinitely many nonoscillatory solutionssecond order nonlinear neutral delay differential equation

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (5)

Existence and iterative algorithms of positive solutions for a higher order nonlinear neutral delay differential equation ⋮ Existence of nonoscillatory solutions for a third-order nonlinear neutral delay differential equation ⋮ Bounded oscillation of a forced nonlinear neutral differential equation ⋮ New oscillation criteria for second-order neutral delay differential equations with positive and negative coefficients ⋮ Positive solutions and Mann iterations of a fourth order nonlinear neutral delay differential equation

Cites Work

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• Oscillation and nonoscillation of second order linear differential equations
• Bounded oscillation for second-order delay differential equations with unstable type in a critical case
• Oscillation criteria for second-order nonlinear neutral delay dynamic equations
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Oscillation theorems for certain neutral functional differential equations
• Nonoscillatory solutions of second-order nonlinear neutral delay equations

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