Positive solutions of a second-order nonlinear neutral delay difference equation

DOI10.1155/2012/172939zbMath1259.39004OpenAlexW2121759616WikidataQ58695002 ScholiaQ58695002MaRDI QIDQ1938129

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

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1155/2012/172939

zbMATH Keywords

second-order nonlinear neutral delay difference equationuncountably many bounded positive solutionsKrasnoselskill fixed point theoremLeray-Schauder nonlinear alternative theoremRothe fixed point theorem

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (2)

Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation ⋮ Approximative solutions to difference equations of neutral type

Cites Work

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• Oscillation theorem for second-order difference equations
• Asymptotic properties of solutions of second-order neutral difference equations
• Global solvability for a second order nonlinear neutral delay difference equation
• Nonoscillatory solutions for discrete equations
• Oscillation criteria for second-order neutral delay difference equations
• Existence of a nonoscillatory solution of a second-order linear neutral difference equation
• An existence theorem for a nonlinear difference equation
• Oscillatory and asymptotic behavior of second-order neutral difference equations with maxima

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