Three-point boundary value problems for second-order discrete 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...

Sign-Changing Solutions for Discrete Second-Order Three-Point Boundary Value Problems

The Symmetric Positive Solutions of Three-point Boundary Value Problems for Nonlinear Second-order Differential Equations

In this paper, we are concerned with the existence of symmetric positive solutions for second-order differential equations. Under suitable conditions, the existence of symmetric positive solutions are established by using Krasnoselskii’s fixed-point theorems.

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia