Positive solutions for a four-point boundary value problem with the \(p\)-Laplacian

DOI10.1016/J.NA.2007.03.042zbMath1151.34019OpenAlexW2140160882MaRDI QIDQ943767

Weigao Ge, Hairong Lian

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.042

zbMATH Keywords

conepositive solutionfixed point theoremmulti-point boundary value problem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (15)

Existence and iterative solutions of a new kind of Sturm-Liouville-type boundary value problem with one-dimensional \(p\)-Laplacian ⋮ Existence and non-existence of positive solutions of Sturm-Liouville BVPs for ODEs on whole line ⋮ Positive solutions of mixed type multi-point non-homogeneous BVPs for \(p\)-Laplacian equations ⋮ Existence of three solutions to a second-order nonhomogeneous multipoint boundary-value problem ⋮ Positive solutions for a second-order \(p\)-Laplacian impulsive boundary value problem ⋮ Positive solutions for fractional four-point boundary value problems ⋮ Existence of solutions for a multi-point boundary value problem with a \(p(r)\)-Laplacian ⋮ Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with \(p\)-Laplacian ⋮ Existence of positive solutions for Sturm-Liouville-like boundary value problem with \(p\)-Laplacian on time scales ⋮ Positive solutions for a higher-order four-point boundary value problem with a \(p\)-Laplacian ⋮ Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem ⋮ SOLVABILITY OF NEUMANN TYPE NON-HOMOGENEOUS MULTI-POINT BVP FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN ⋮ Studies on a multi-point boundary value problem for second order differential equation with p-Laplacian ⋮ Exact solutions of a class of second-order nonlocal boundary value problems and applications ⋮ A four-point \(\phi\)-Laplacian BVPs with first-order derivative dependence

Cites Work

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• Five-point boundary value problems for third-order differential equations by solution matching
• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• The existence of positive solutions for a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary-value \newline problems.
• New existence theorems of positive solutions for Sturm-Liouville boundary value problems
• A priori estimates for the existence of a solution for a multi-point boundary value problem
• Generalized multipoint conjugate eigenvalue problems
• The existence of positive solutions for the Sturm-Liouville boundary value problems.
• Solvability of multi-point boundary value problems at resonance. I
• Solvability of multi-point boundary value problem at resonance. II.
• Positive solutions of some three point boundary value problems via fixed point index theory.
• Positive solutions of a nonlinear four-point boundary value problems
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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