Solvability of a second order nonlinear neutral delay difference equation

DOI10.1155/2011/328914zbMath1252.39001OpenAlexW2142215098WikidataQ58654138 ScholiaQ58654138MaRDI QIDQ657110

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

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/328914

zbMATH Keywords

non-oscillatory solutionsbounded solutionssecond-order nonlinear neutral delay difference equationfixed pint theorempositive and negative solutionsuncountably many solutions

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Oscillation theory for difference equations (39A21)

Related Items (1)

Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation

Cites Work

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• 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
• Set-contractive mappings and difference equations in Banach spaces
• Nonoscillatory solutions for discrete equations
• Bounded oscillation of second order unstable neutral type difference equations
• Existence of a nonoscillatory solution of a second-order linear neutral difference equation
• Oscillation and Nonoscillation of Second Order Neutral Delay Difference Equations
• An existence theorem for a nonlinear difference equation

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