Solvability and Mann iterative approximations for a higher order nonlinear neutral delay differential equation

DOI10.1186/s13662-017-1104-7zbMath1422.34189OpenAlexW2590081223WikidataQ59520260 ScholiaQ59520260MaRDI QIDQ1628559

Guojing Jiang, Kang, Shin Min, Young-Chel Kwun

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1104-7

zbMATH Keywords

error estimatenonoscillatory solutionsneutral delay differential equationcontraction mappingMann iterative sequence

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

An improved approach for studying oscillation of second-order neutral delay differential equations ⋮ Amended oscillation criteria for second-order neutral differential equations with damping term ⋮ New criteria for oscillation of nonlinear neutral differential equations ⋮ New oscillation theorems for a class of even-order neutral delay differential equations ⋮ Positive solutions for an infinite system of fractional order boundary value problems ⋮ New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors ⋮ On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications ⋮ Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type ⋮ An improved approach for studying oscillation of generalized Emden-Fowler neutral differential equation

Cites Work

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• Nonoscillatory solutions of higher order differential and delay differential equations with forcing term
• Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients
• Existence of positive solutions for neutral differential equations
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients