Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations

DOI10.1016/j.camwa.2011.02.046zbMath1242.39006OpenAlexW3030311979MaRDI QIDQ639066

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

Publication date: 18 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.046

zbMATH Keywords

Krasnoselskii's fixed-point theoremsecond-order nonlinear neutral delay difference equationuncountably many bounded positive solutions

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Oscillation theory for difference equations (39A21)

Related Items (5)

Existence of uncountably many bounded positive solutions to higher-order nonlinear neutral delay difference equations ⋮ Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation ⋮ Asymptotically polynomial solutions to difference equations of neutral type ⋮ Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences ⋮ Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations

Cites Work

• Unnamed Item
• Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales
• Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations
• Global solvability for a second order nonlinear neutral delay difference equation
• Oscillatory and nonoscillatory behavior of second-order neutral delay difference equations. II
• Oscillation of second-order sublinear neutral delay difference equations.
• Set-contractive mappings and difference equations in Banach spaces
• Nonoscillatory solutions for discrete equations
• Oscillation criteria for second-order neutral delay difference equations
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence of a nonoscillatory solution of a second-order linear neutral difference equation
• Bounded oscillation for second-order nonlinear neutral difference equations in critical and non-critical states
• Oscillation and Nonoscillation of Second Order Neutral Delay Difference Equations
• An existence theorem for a nonlinear difference equation

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