학술논문
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A SUPER-LINEAR THREE-POINT BOUNDARY-VALUE PROBLEM.
Document Type
Article
Author
Source
Subject
*EXISTENCE theorems
*TOPOLOGICAL degree
*NONLINEAR operators
*NUMERICAL solutions to boundary value problems
*DIFFERENTIAL equations
*
*
*
*
Language
ISSN
1550-6150
Abstract
In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case. [ABSTRACT FROM AUTHOR]