Existence and uniqueness of solutions of (\(k+2\))-point nonlocal boundary value problems for ordinary differential equations

DOI10.1016/j.na.2010.11.048zbMath1219.34024OpenAlexW1977624963MaRDI QIDQ631735

Johnny Henderson

Publication date: 14 March 2011

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.2010.11.048

zbMATH Keywords

existenceuniquenessnonlocal boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Iterative solution to singular \(n\)th-order nonlocal boundary value problems ⋮ A new reproducing kernel method for linear nonlocal boundary value problems ⋮ The problem with non-separated multipoint-integral conditions for high-order differential equations and a new general solution ⋮ A note on the elastic and geometric bounds for composite laminates ⋮ The design of laminates as a global optimization problem ⋮ An efficient method for solving a class of nonlocal boundary value problems and error estimate ⋮ An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems ⋮ Multipoint boundary value problems of Neumann type for functional differential equations ⋮ Stiffness and strength optimization of the anisotropy distribution for laminated structures ⋮ An optimal reproducing kernel method for linear nonlocal boundary value problems ⋮ Nonlocal boundary value problems with resonant or non-resonant conditions ⋮ Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations

Cites Work

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• Existence theorems for boundary value problems of \(n\)-th order ordinary ifferential equations
• Unrestricted \(n\)-parameter families
• Uniqueness implies existence for three-point boundary value problems for second order differential equations
• Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations
• Uniqueness of solutions of right focal point boundary value problems for ordinary differential equations
• Existence and uniqueness of solutions of k-point boundary value problems for ordinary differential equations
• Uniqueness Implies Existence and Uniqueness Conditions for a Class of (k + j)-Point Boundary Value Problems for n-th Order Differential Equations
• Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations
• Existence of solutions of right focal point boundary value problems for ordinary differential equations
• Existence–Uniqueness for Focal-Point Boundary Value Problems
• Existence of solutions for right focal boundary value problems
• Existence of solutions for three-point boundary value problems for second order equations
• On the existence and uniqueness of solutions of a boundary value problem for an ordinary second-order differential equation
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations
• Uniqueness of Solutions of Boundary Value Problems for Ordinary Differential Equations
• Existence and uniqueness of solutions of boundary value problems for third order differential equations
• Existence and uniqueness of solutions of boundary value problems for third order differential equations

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