On the existence and uniqueness of solutions to boundary value problems on time scales

This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a priori bounds on solutions, and the nonlinear alternative of Leray-Schauder.

Saved in:
Bibliographic Details
Published in:Advances in difference equations 2004, Vol.2004 (2), p.93-109, Article 146482
Main Authors: Henderson, Johnny, Peterson, Allan, Tisdell, Christopher C
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a priori bounds on solutions, and the nonlinear alternative of Leray-Schauder.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1155/S1687183904308071