Solvability ofNth Order Linear Boundary Value Problems

On the Solvability of Nonlinear, First-Order Boundary Value Problems

This article investigates the existence of solutions to first-order, nonlinear boundary value problems (BVPs) involving systems of ordinary differential equations and two-point boundary conditions. Some sufficient conditions are presented that will ensure solvability. The main tools employed are novel differential inequalities and fixed-point methods. AMS 2000 Classification: 34B15, 34B99

Solvability for second order nonlinear impulsive boundary value problems

Impulsive differential equations play a very important role in understanding mathematical models of real processes and phenomena studied in physics, chemical technology, population dynamics, biotechnology, economics and so on, see [1,2,8,10,17]. About wide applications of the theory of impulsive differential equations to different areas, we refer the readers to monographs [5,7,18,19] and the re...

Solvability of Nonlocal Fractional Boundary Value Problems

Solvability of discrete Neumann boundary value problems

In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s Theorem in the finite-dimensional space setting. © 2006 Elsevier Inc. All rights reserved.

Solvability of Discrete Neumann Boundary Value Problems

In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s theorem in the finitedimensional space setting. Running Head: Discrete BVPs AMS Subject Code: 39A12, 34B15 Corresponding Author: C C Tisdell