Solution matching for a three-point boundary-value problem on atime scale
Date
2004-07-08
Authors
Eggensperger, Martin
Kaufmann, Eric R.
Kosmatov, Nickolai
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Time scale, Boundary-value problem, Solution matching
Citation
Eggensperger, 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.
Rights
Attribution 4.0 International