Solvability of a higher-order nonlinear neutral delay difference equation

DOI10.1155/2010/767620zbMath1208.39005OpenAlexW2159890537WikidataQ59253099 ScholiaQ59253099MaRDI QIDQ610929

Zhenyu Guo, Min Liu

Publication date: 13 December 2010

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

Full work available at URL: https://eudml.org/doc/222627

zbMATH Keywords

bounded solutionSchauder fixed point theoremnonoscillatory solutionsKrasnoselskii fixed point theoremhigher-order nonlinear difference equationnonlinear neutral difference equation

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 (5)

Trichotomy of nonoscillatory solutions to second-order neutral difference equation with quasi-difference ⋮ Asymptotic behavior of solutions to difference equations of neutral type ⋮ Iterated remainder operator, tests for multiple convergence of series, and solutions of difference equations ⋮ Approximative solutions to difference equations of neutral type ⋮ Asymptotically polynomial solutions to difference equations of neutral type

Cites Work

• Asymptotic properties of solutions of second-order neutral difference equations
• Global solvability for a second order nonlinear neutral delay difference equation
• Oscillation theorems for second-order advanced functional difference equations
• Oscillations of higher-order neutral difference equations
• Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients
• Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients
• Existence for nonoscillatory solutions of higher-order nonlinear neutral difference equations.
• Monotone properties of certain classes of solutions of second-order difference equations
• Oscillation of higher-order nonlinear difference equations of neutral type
• 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
• An existence theorem for a nonlinear difference equation
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