Existence and uniqueness of solutions for singular \((k,n-k)\) conjugate boundary value problems

DOI10.1016/j.camwa.2006.03.019zbMath1143.34306OpenAlexW2033530783MaRDI QIDQ2426032

Xiaoyue Li, Daqing Jiang, Xiaoning Lin

Publication date: 17 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.019

zbMATH Keywords

existenceuniquenesssingularmixed monotone operator\((k,n-k)\) conjugate boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (12)

Solvability of impulsive \((n,n-p)\) boundary value problems for higher order fractional differential equations ⋮ Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems with singularities on space variables ⋮ Positive solutions for fourth-order singular \(p\)-Laplacian differential equations with integral boundary conditions ⋮ New boundary value problems for higher order impulsive fractional differential equations and their solvability ⋮ Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations ⋮ Existence and uniqueness of solutions for singular higher order continuous and discrete boundary value problems ⋮ Existence results for \((k,n-k)\) conjugate boundary-value problems with integral boundary conditions at resonance with \(\dim\ker L=2\) ⋮ A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations ⋮ Existence and uniqueness of solutions for singular integral equation ⋮ Weak singularities and existence of solutions to \((k,n - k)\) conjugate boundary value problems ⋮ Iterative solutions of singular (\(k\),\(n-k\)) conjugate boundary value problems with dependence on the derivatives ⋮ A singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties

Cites Work

• Unnamed Item
• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Positive solutions for \((p,n-p)\) conjugate boundary value problems
• Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs
• Fixed points of mixed monotone operators with applications
• The Green's function for \((k,n-k)\) conjugate boundary value problems and its applications

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