Three positive solutions for a nonlinear \(n\)th-order \(m\)-point boundary value problem

DOI10.1016/j.na.2007.03.041zbMath1156.34311OpenAlexW2349191985MaRDI QIDQ943766

Yanping Guo, Jiehua Zhang, Yu-de Ji

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.2007.03.041

zbMATH Keywords

Green's functionpositive solutionLeggett-Williams fixed point theorem

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) 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 (18)

The existence of countably many positive solutions for some nonlinear \(n\)th-order \(m\)-point boundary value problems ⋮ The existence of countably many positive solutions for nonlinear \(n\)th-order three-point boundary value problems ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Existence of positive solutions for \(n\)th-order \(p\)-Laplacian singular super-linear boundary value problems ⋮ Monotonic positive solutions of nonlocal boundary value problems for a second-order functional differential equation ⋮ Higher order \(m\)-point boundary value problems on time scales ⋮ Multiple positive solutions for singular \(n\)th-order nonlocal boundary value problems in Banach spaces ⋮ Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure ⋮ Existence of positive solutions for a nonlinear higher-order multipoint boundary value problem ⋮ On nonlocal boundary value problems of nonlinear \(n\)th-order \(q\)-difference equations ⋮ EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR nth-ORDER THREE-POINT NONHOMOGENEOUS BOUNDARY VALUE PROBLEM ⋮ Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation ⋮ Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order ⋮ Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions ⋮ Nonlocal conjugate type boundary value problems of higher order ⋮ Existence and uniqueness of solution to nonlinear boundary value problems with sign-changing Green's function ⋮ Existence of positive solutions for \(n\)th-order singular sublinear boundary value problems with all derivatives ⋮ Existence of positive solutions for \(n\)th-order \(p\)-Laplacian singular sublinear boundary value problems

Cites Work

• Existence theorems for a second order \(m\)-point boundary value problem
• Existence theorems for a second order three-point boundary value problem
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Positive solutions for second-order \(m\)-point boundary value problems
• Three positive solutions for second-order \(m\)-point boundary value problems
• Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions
• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Positive solutions for second-order three-point boundary value problems
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