Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem

DOI10.1080/10236198.2012.719502zbMath1277.39011OpenAlexW2048925149MaRDI QIDQ2846795

Lingju Kong, Bo Yang, Min Wang, John R. Graef

Publication date: 3 September 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.719502

zbMATH Keywords

conepositive solutionsnumerical examplesdiscrete boundary value problemLidstone boundary value problemfourth-ordermixed monotone operatoruniqueness and dependence

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Parameter dependent boundary value problems for ordinary differential equations (34B08) Growth, boundedness, comparison of solutions to difference equations (39A22) Numerical methods for difference equations (65Q10)

Related Items (9)

Nontrivial solutions for nonlinear discrete boundary value problems of the fourth order ⋮ Existence of non-spurious solutions to discrete fourth-order Lidstone boundary value problems ⋮ Discrete fourth-order boundary value problems with four parameters ⋮ Multiple anti-periodic solutions to a discrete fourth order nonlinear equation ⋮ Two point fractional boundary value problems with a fractional boundary condition ⋮ Asymptotic properties of solutions to fourth order difference equations ⋮ Existence of solutions to a discrete fourth order periodic boundary value problem ⋮ Minimal and maximal solutions of fourth-order nonlinear difference equations ⋮ Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

Cites Work

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• Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
• New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems
• Existence of positive solution for nonlinear fourth-order difference equations
• A discrete fourth-order Lidstone problem with parameters
• Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities
• On the existence of positive solutions of fourth-order difference equations
• Existence of positive solutions for BVPs of fourth-order difference equations
• Higher-order singular multi-point boundary-value problems on time scales
• Existence of solutions of nonlinear fourth order discrete boundary value problem

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