Geodesic
Smoothness of solutions of conjugate boundary-value problems on a measure chain
Electronic Journal of Differential Equations, Tome 2000 (2000).

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

Summary: 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},
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     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a42/}
}
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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/