Multiplicity results for semipositone two-point boundary value problems

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.

Positive Solutions for Semipositone Fourth-order Two-point Boundary Value Problems

In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative: u(t) = f(t, u(t), u′′(t)), 0 ≤ t ≤ 1, u′(1) = u′′(1) = u′′′(1) = 0, ku(0) = u′′′(0), where −6 < k < 0, f ≥ −M , and M is a positive constant. Our approach relies on the Krasnosel’skii fixed point theorem.

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Existence and multiplicity results for nonlinear boundary value problems

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established. c © 2007 Elsevier Ltd. All rights reserved.

Comparison Results of Two-point Fuzzy Boundary Value Problems

This paper investigates the solutions of two-point fuzzy boundary value problems as the form x′′ = f(t, x(t)), x(0) = A and x(l) = B, where A and B are fuzzy numbers. There are four different solutions for the problems when the lateral type of H-derivative is employed to solve the problems. As f(t, x) is a monotone function of x, these four solutions are reduced to two different solutions. As f...