Positive solutions of higher-order four-point boundary value problem with \(p\)-Laplacian operator

DOI10.1016/j.cam.2009.06.040zbMath1194.34035OpenAlexW2074401034MaRDI QIDQ848532

Hongyun Wu, Ji Hui Zhang

Publication date: 4 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.040

zbMATH Keywords

positive solutions\(p\)-Laplacian operatorfixed point theoremfour-point singular boundary value problem

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

Positive solutions for higher order differential equations with integral boundary conditions ⋮ Uniqueness and parameter dependence of positive solution of fourth-order nonhomogeneous BVPs ⋮ Combining Capon and APES for estimation of spectral lines

Cites Work

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• The existence of positive solutions for some nonlinear equation systems
• The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the \(p\)-Laplacian operator
• Positive solutions of four-point boundary value problems for higher-order \(p\)-Laplacian operator
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Twin positive solutions for the one-dimensional \(p\)-Laplacian boundary value problems.
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Existence of three positive solutions for some second-order boundary value problems
• The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems
• Multiple positive solutions for some multi-point boundary value problems with \(p\)-Laplacian
• The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• The existence of positive solutions for the one-dimensional $p$-Laplacian

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