Eggensperger, MartinKaufmann, Eric R.Kosmatov, Nickolai2021-04-262021-04-262004-07-08Eggensperger, M., Kaufmann, E. R., & Kosmatov, N. (2004). Solution matching for a three-point boundary-value problem on atime scale. <i>Electronic Journal of Differential Equations, 2004</i>(91), pp. 1-7.1072-6691https://hdl.handle.net/10877/13445Let 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalTime scaleBoundary-value problemSolution matchingArticle