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

dc.contributor.authorEggensperger, Martin
dc.contributor.authorKaufmann, Eric R.
dc.contributor.authorKosmatov, Nickolai
dc.date.accessioned2021-04-26T17:46:11Z
dc.date.available2021-04-26T17:46:11Z
dc.date.issued2004-07-08
dc.description.abstractLet 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.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEggensperger, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13445
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectTime scale
dc.subjectBoundary-value problem
dc.subjectSolution matching
dc.titleSolution matching for a three-point boundary-value problem on atime scaleen_US
dc.typeArticle

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