Geodesic
Solution matching for a three-point boundary-value problem on a time scale
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $$\displaylines{ y^{\Delta\Delta\Delta}(t) = f(t, y(t), y^\Delta(t), y^{\Delta\Delta}(t)), \quad t \in [t_1, t_3] \cap \mathbb{T},\cr y(t_1) = y_1, \quad y(t_2) = y_2, \quad y(t_3) = y_3\,. }$$ We do this by matching a solution to the first equation satisfying a two-point boundary conditions on $[t_1, t_2] \cap \mathbb{T}$ with a solution satisfying a two-point boundary conditions on $[t_2, t_3] \cap \mathbb{T}$.
Classification : 34B10, 34B15, 34G20
Keywords: time scale, boundary-value problem, solution matching 
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     author = {Eggensperger, Martin and Kaufmann, Eric R. and Kosmatov, Nickolai},
     title = {Solution matching for a three-point boundary-value problem on a time scale},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a135/}
}
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Eggensperger, Martin; Kaufmann, Eric R.; Kosmatov, Nickolai. Solution matching for a three-point boundary-value problem on a time scale. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a135/