Existence of solutions to a third-order multi-point problem on time scales

Existence of solutions to a third-order multi-point problem on time scales

We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed poin...

Full description

Bibliographic Details
Main Authors: Joan Hoffacker, Douglas R. Anderson
Format: Article
Language:English
Published: Texas State University 2007-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Boundary value problem
time scale
third order
Green function
Online Access:http://ejde.math.txstate.edu/Volumes/2007/107/abstr.html
Description
Summary:We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed point theorem. Moreover, a third-order multi-point eigenvalue problem is formulated, and eigenvalue intervals for the existence of a positive solution are found.
ISSN:1072-6691

Similar Items