Existence of solutions to a third-order multi-point problem on time scales
Date
2007-08-07
Authors
Anderson, Douglas R.
Hoffacker, Joan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Boundary value problem, Time scale, Third order, Green function
Citation
Anderson, D. R., & Hoffacker, J. (2007). Existence of solutions to a third-order multi-point problem on time scales. <i>Electronic Journal of Differential Equations, 2007</i>(107), pp. 1-15.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.