Solution matching for a three-point boundary-value problem on atime scale
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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.
CitationEggensperger, 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.
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