Three-point boundary value problems for difference equations

Three-Point Boundary Value Problems for Second-Order Discrete Equations

We formulate existence results for solutions to discrete equations which approximate three-point boundary value problems for second-order ordinary differential equations. c © 2003 Elsevier Science Ltd. All rights reserved. Keywords—Three-point boundary value problem, Difference equations, Brouwer degree, Secondorder ordinary differential equations.

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Periodic Boundary Value Problems for First Order Difference Equations

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form

Boundary Value Problems for Functional Difference Equations on Infinite Intervals