# Solution matching for a three-point boundary-value problem on atime scale

 dc.contributor.author Eggensperger, Martin dc.contributor.author Kaufmann, Eric R. dc.contributor.author Kosmatov, Nickolai dc.date.accessioned 2021-04-26T17:46:11Z dc.date.available 2021-04-26T17:46:11Z dc.date.issued 2004-07-08 dc.description.abstract Let T be a time scale such that t1, t2, t3 ∈ T. We show the existence of a unique solution for the three-point boundary value problem y∆∆∆(t) = ƒ(t, y(t), y∆(t), y∆∆(t)), t ∈ [t1, t3] ∩ T, y(t1) = y1, y(t2) = y2, y(t3) = y3. We do this by matching a solution to the first equation satisfying a two-point boundary conditions on [t1, t2] ∩T with a solution satisfying a two-point boundary conditions on [t2, t3] ∩T. dc.description.department Mathematics dc.format Text dc.format.extent 7 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Eggensperger, M., Kaufmann, E. R., & Kosmatov, N. (2004). Solution matching for a three-point boundary-value problem on atime scale. Electronic Journal of Differential Equations, 2004(91), pp. 1-7. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/13445 dc.language.iso en dc.publisher Southwest Texas State University, Department of Mathematics dc.rights Attribution 4.0 International dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.source Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject Time scale dc.subject Boundary-value problem dc.subject Solution matching dc.title Solution matching for a three-point boundary-value problem on atime scale en_US dc.type Article

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