Anderson, Douglas R.Hoffacker, Joan2021-08-132021-08-132007-08-07Anderson, 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. 1-15.1072-6691https://hdl.handle.net/10877/14323We 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.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary value problemTime scaleThird orderGreen functionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.