Some applications of dominated convergence theorems to a higher-order singular boundary value problem

DOI10.1515/JAA.2010.002zbMath1276.34017OpenAlexW2065676287MaRDI QIDQ2865552

Qing-liu Yao

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2010.002

zbMATH Keywords

existencepositive solutionhigher-order boundary value problemdominated convergence theorem

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Cites Work

• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation
• Positive solutions for \((p,n-p)\) conjugate boundary value problems
• On the positive solutions of Lidstone boundary value problems.
• Multiple positive solutions of conjugate boundary value problems with singularities.
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Green's function and positive solutions for higher-order ODE.
• Positive solutions of nonlinear second-order periodic boundary value problems
• Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
• Solutions of Nonlinear Singular Boundary Value Problems
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
• The Green's function for \((k,n-k)\) conjugate boundary value problems and its applications

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