Existence and uniqueness of positive solutions for fourth-order \(m\)-point boundary value problems with two parameters

DOI10.1216/RMJ-2013-43-4-1161zbMath1288.34025MaRDI QIDQ370850

Xinan Hao, Naiwei Xu, Li Shan Liu

Publication date: 20 September 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1378730042

zbMATH Keywords

coneuniquenessfixed pointpositive solutionmultipoint 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 (11)

Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ A class of nonlocal indefinite differential systems ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Positive solutions to one-dimensional quasilinear impulsive indefinite boundary value problems ⋮ Multiple monotone positive solutions for higher order differential equations with integral boundary conditions ⋮ Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method ⋮ A new approach to the existence of quasiperiodic solutions for second-order asymmetric \(p\)-Laplacian differential equations ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem ⋮ Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions ⋮ Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation ⋮ Positive solutions to second-order singular nonlocal problems: existence and sharp conditions

Cites Work

• Unnamed Item
• Existence and multiplicity of positive solutions for multi-parameter three-point differential equations system
• Positive solutions of fourth-order multi-point boundary value problems with bending term
• Existence and uniqueness theorems for fourth-order boundary value problems
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions of fourth-order boundary value problems with two parameters
• A three point boundary value problem for nonlinear fourth order differential equations.
• Positive solutions of fourth-order two point boundary value problems.
• Positive solutions of \(m\)-point boundary value problems
• Positive solutions of some three point boundary value problems via fixed point index theory.
• Three positive solutions for second-order \(m\)-point boundary value problems
• Positive solutions of fourth-order four-point boundary value problems with \(p\)-Laplacian operator
• Existence of solutions for fourth order differential equation with four-point boundary conditions
• Positive solution for \(m\)-point boundary value problems of fourth order
• A Uniqueness Theorem for a Boundary Value Problem
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator

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