On 2nth-order nonlinear multi-point boundary value problems

DOI10.1016/j.mcm.2010.01.008zbMath1206.34036OpenAlexW1973569676MaRDI QIDQ604143

Yuan-Ming Wang

Publication date: 8 November 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.01.008

zbMATH Keywords

monotone iterationexistence and uniquenessmethod of upper and lower solutions\(2n\)th-order equationnonlinear multi-point boundary value problem

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Existence of positive solution for a sixth-order differential system with variable parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-parameter nonresonance condition for the existence of fourth-order boundary value problems
• On fourth order boundary value problems arising in beam analysis
• Positive solutions to a multi-point higher order boundary value problem
• A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems
• A class of \(2n\)th-order singular boundary value problems
• On numerical studies of multi-point boundary value problem and its fold bifurcation
• Positive solutions of m-point boundary value problems for higher order ordinary differential equations
• Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations
• Positive solutions of fourth-order multi-point boundary value problems with bending term
• Nonlinear desingularization in certain free-boundary problems
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• A remark on a second-order three-point boundary value problem
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Existence theorems for a second order \(m\)-point boundary value problem
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Existence of multiple symmetric positive solutions of higher order Lidstone problems.
• Twin positive solutions for higher order m-point boundary value problems with sign changing nonlinearities.
• Positive solutions of even higher-order singular superlinear boundary value problems.
• Three positive solutions for higher order \(m\)-point boundary value problems.
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• General Lidstone problems: Multiplicity and symmetry of solutions
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Solutions of 2\(n\)th Lidstone boundary value problems and dependence on higher order derivatives
• Existence of positive solutions for 2\(n\)th-order singular sublinear boundary value problems
• Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations
• Positive solution of fourth order ordinary differential equation with four-point boundary condi\-tions
• Positive solution for \(m\)-point boundary value problems of fourth order
• The method of lower and upper solutions for fourth order singular \(m\)-point boundary value problems
• On 2\(n\)th-order Lidstone boundary value problems
• Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
• Fourth-Order Two-Point Boundary Value Problems
• Nonlinear elliptic boundary-value problems in unbounded domains
• On an m-point boundary-value problem for second-order ordinary differential equations
• On an M-point boundary value problem
• On fourth-order elliptic boundary value problems
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
• Three‐Point Boundary Value Problems in Differential Equations
• Upper and lower solution method for fourth-order four-point boundary value problems
• Upper and lower solution method for fourth-order four-point boundary value problems

This page was built for publication: On 2nth-order nonlinear multi-point boundary value problems