Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations

DOI10.1016/j.amc.2009.03.050zbMath1182.39002OpenAlexW1970133640MaRDI QIDQ1029394

Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min

Publication date: 10 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.050

zbMATH Keywords

contraction mappingMann iterative sequence with errorsiterative approximationssecond order nonlinear neutral delay difference equationuncountably many bounded non-oscillatory solutions

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Oscillation theory for difference equations (39A21)

Related Items (14)

Positive solutions and convergence of Mann iterative schemes for a fourth order neutral delay difference equation ⋮ Positive solutions and Mann iterative algorithms for a second-order nonlinear difference equation ⋮ Existence of uncountably many bounded positive solutions for a third order nonlinear neutral delay difference equation ⋮ Existence of bounded positive solutions for a system of difference equations ⋮ Unbounded positive solutions and Mann iterative schemes of a second-order nonlinear neutral delay difference equation ⋮ Existence of bounded positive solutions for partial difference equations with delays ⋮ Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations ⋮ Positive solutions and iterative approximations for a nonlinear two-dimensional difference system with multiple delays ⋮ Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation ⋮ On positive solutions of a fourth order nonlinear neutral delay difference equation ⋮ On positive solutions and Mann iterative schemes of a third order difference equation ⋮ Solvability of a second order nonlinear neutral delay difference equation ⋮ Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations ⋮ Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations

Cites Work

• Unnamed Item
• Existence and multiple solutions for a second-order difference boundary value problem via critical point theory
• Periodic solutions for nonlinear second-order difference equations
• Bounded and zero convergent solutions of second-order difference equations
• Asymptotic properties of solutions of second-order neutral difference equations
• Oscillation theorems for second-order advanced functional difference equations
• Oscillation criteria for a nonlinear difference equation
• Oscillatory and nonoscillatory behavior of second-order neutral delay difference equations. II
• New oscillation criteria for second-order nonlinear neutral delay difference equations
• Oscillation of second-order sublinear neutral delay difference equations.
• Bounded oscillation of second-order delay difference equations of unstable type.
• New results for the asymptotic behavior of a nonlinear second-order difference equation
• Remarks on two recent oscillation theorems for second-order linear difference equations
• Oscillation and nonoscillation theorems for second order nonlinear difference equations.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Monotone properties of certain classes of solutions of second-order difference equations
• Oscillation criteria for second-order functional difference equations with ``summation small coefficient
• Oscillation and asymptotic behavior of second order difference equations
• Existence of a nonoscillatory solution of a second-order linear neutral difference equation
• Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line
• Oscillation of second-order linear difference equations
• Oscillatory and asymptotic behavior of second-order neutral difference equations with maxima
• Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term

This page was built for publication: Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations