Existence and Mann iterative approximations of nonoscillatory solutions of \textit{n}th-order neutral delay differential equations

DOI10.1016/j.jmaa.2006.06.079zbMath1116.34051OpenAlexW1989354707MaRDI QIDQ868800

Haiyan Gao, Soo Hak Shim, Liu, Zeqing, Kang, Shin Min

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.079

zbMATH Keywords

error estimatecontraction mappingMann iterative sequenceinfinitely many nonoscillatory solutions

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40)

Related Items (5)

Solvability and Mann iterative approximations for a higher order nonlinear neutral delay differential equation ⋮ Existence and iterative algorithms of positive solutions for a higher order nonlinear neutral delay differential equation ⋮ Bounded oscillation of a forced nonlinear neutral differential equation ⋮ Solvability and iterative algorithms for a higher order nonlinear neutral delay differential equation ⋮ Nonoscillatory solutions for higher-order nonlinear neutral delay differential equations

Cites Work

• On the existence of asymptotically decaying positive solutions of second order neutral differential equations
• Existence of a nonoscillatory solution to a second-order linear neutral delay equation
• Oscillation of neutral functional-differential equations
• Nonoscillatory solutions for system of neutral delay equation
• Oscillations of higher order neutral differential equations
• Oscillation theorems for certain neutral functional differential equations
• Oscillatory and nonoscillatory solutions of neutral differential equations
• Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients
• Existence of positive solutions of higher order nonlinear neutral differential equations
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