Existence of solutions to a third-order multi-point problem on time scales
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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.
CitationAnderson, D. R., & Hoffacker, J. (2007). Existence of solutions to a third-order multi-point problem on time scales. Electronic Journal of Differential Equations, 2007(107), pp. 1-15.
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