Geodesic
Smoothness of solutions of conjugate boundary-value problems on a measure chain
Electronic journal of differential equations, Tome 2000 (2000)
In this paper we consider the n-th order

$u^{\Delta_n}(t) = f(t, u(\sigma(t)),\dots, u^{\Delta_{n-1}}(\sigma(t)))$

satisfying n-point conjugate boundary conditions. We show that solutions depend continuously and smoothly on the boundary values.
Classification : 34B15, 34B99, 39A10, 34A99
Keywords: measure chain, initial-value problem 
@article{EJDE_2000__2000__a42,
     author = {Kaufmann,  Eric R.},
     title = {Smoothness of solutions of conjugate boundary-value problems on a measure chain},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0952.34025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a42/}
}
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%A Kaufmann,  Eric R.
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%J Electronic journal of differential equations
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%V 2000
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Kaufmann,  Eric R. Smoothness of solutions of conjugate boundary-value problems on a measure chain. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a42/