Three positive solutions for higher order \(m\)-point boundary value problems.

DOI10.1016/j.jmaa.2003.08.038zbMath1046.34028OpenAlexW1994862810MaRDI QIDQ1425134

Xiujun Liu, Yanping Guo, Ji-Qing Qiu

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.038

zbMATH Keywords

positive solutionGreen function, Leggett-Williams fixed-point theoremhigher-order \(m\)-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (19)

Positive solutions for higher order differential equations with integral boundary conditions ⋮ Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces ⋮ Positive solutions for 2\(n\)th-order singular sub-linear \(m\)-point boundary value problems ⋮ A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems ⋮ Multiple positive solutions for a second-order three-point boundary value problem ⋮ Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces ⋮ On 2nth-order nonlinear multi-point boundary value problems ⋮ The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems ⋮ Nontrivial solutions for higher-order \(m\)-point boundary value problem with a sign-changing nonlinear term ⋮ A necessary and sufficient condition for the existence of symmetric positive solutions of higher-order boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Eigenvalue criteria for the existence of multiple positive solutions of high-order nonlinear BVPs ⋮ Multiplicity results to nonlinear Hammerstein integral equations and applications ⋮ Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces ⋮ Triple positive solutions of a class of fourth-order two-point boundary value problems ⋮ A generalization of the Leggett-Williams fixed point theorem and its application ⋮ Existence and nonexistence of positive solutions for a class of \(n\)th-order three-point boundary value problems in Banach spaces ⋮ Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces ⋮ Existence results for a class of \(n\)th order \(m\)-point boundary value problems in Banach spaces

Cites Work

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• A generalized multi-point boundary value problem for second order ordinary differential equations
• Triple positive solutions and dependence on higher order derivatives
• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence theorems for a second order \(m\)-point boundary value problem
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Positive solutions for second-order \(m\)-point boundary value problems
• On an M-point boundary value problem
• Positive solutions for second-order three-point boundary value problems

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