Document Type
Report
Source Publication Title
Technical Report 183
Abstract
The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form (E) [see pdf for notation] (C) [see pdf for notation] has recently attracted the interest of many authors (e.g. [1], [4], [5],[8],[11]) for the case in which n = 1. The prevalent approaches have been the topological method of Wazewski [1,8], the shooting method via the maximum principle, and the Kneser-Hukuhara continuum theorem [1]. A common ingredient in these approaches is the use of upper and lower solutions to obtain bounds on the solutions.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
5-1-1982
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Palamides, P. K. and Bernfeld, Stephen R., "A Topological Method for Vector-Valued and Nth Order Nonlinear Boundary Value Problems" (1982). Mathematics Technical Papers. 176.
https://mavmatrix.uta.edu/math_technicalpapers/176