Three-point Boundary Conditions Research Articles

Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem

In this paper, we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problemwith boundary conditions where and

Infinitely many solutions of weakly coupled superlinear systems

We study weakly coupled superlinear systems with different boundary conditions. The boundary conditions that we consider are the Sturm-Liouville and the three-point boundary conditions. We first prove a continuation theorem based on coincidence degree and explain how to compute the degree for some simple scalar differential equations. Then we apply those results to prove the existence of infinitely many solutions to the weakly coupled system.

A numerical-analytic method for three-point boundary-value problems

We suggest a modification of the numerical-analytic iteration method. This method is used for studying the problem of existence of solutions and for constructing approximate solutions of nonlinear ordinary differential systems with linear three-point boundary conditions of general form.

Existence-uniqueness and iterative methods for third-order boundary value problems

In this paper we shall provide necessary and sufficient conditions for the existence and uniqueness of solutions of third-order nonlinear differential equations satisfying three-point boundary conditions. For the linear case, we propose a constructive method which is a variation of the method of chasing. For the nonlinear problems sufficient conditions are provided to ensure the convergence of a general class of iterative methods. Several examples are also included.

On the Numerical Solution of the Blasius Problem With Three-Point Boundary Conditions

On the Numerical Solution of the Blasius Problem With Three-Point Boundary Conditions

Improved Numerical Solution of the Blasius Problem With Three-Point Boundary Conditions

Improved Numerical Solution of the Blasius Problem With Three-Point Boundary Conditions

A Note on the Blasius Equation with Three-Point Boundary Conditions

A Note on the Blasius Equation with Three-Point Boundary Conditions

The Blasius equation with three-point boundary conditions

The Blasius equation subject to three-point boundary conditions, describing the interaction between two parallel streams, is solved by way of a series in terms of ascending powers of the ratio λ = ( u 1 − u 2 ) / u 1 \lambda = ({u_1} - {u_2})/{u_1} , where the u i ′ s {u_i}’s are the outer streams’ velocities.