New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by the method of a priori estimates.
@article{118669,
author = {Nguyen Anh Tuan},
title = {On one class of solvable boundary value problems for ordinary differential equation of $n$-th order},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {35},
year = {1994},
pages = {299-309},
zbl = {0841.34020},
mrnumber = {1286577},
language = {en},
url = {http://dml.mathdoc.fr/item/118669}
}
Tuan, Nguyen Anh. On one class of solvable boundary value problems for ordinary differential equation of $n$-th order. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 299-309. http://gdmltest.u-ga.fr/item/118669/
Ob odnom klasse nelineinykh kraevykh zadach, Trudy IPM im. Vekua TGU 3 (1988), 53-71.
Ordinary differential equation, John Wiley & Sons, 1964. | MR 0171038 | Zbl 0196.10703
Kraevye zadachi dlya sistem obyknovennykh differencialnykh uravnenii, Sovremennye problemy matematiki. Noveishie dostizheniya (Itogi nauki i tekhniki, Viniti AM SSSR), Moskva (1987), 3-103.
On one class of solvable boundary value problems for ordinary differential equation of $n$-th problem, Comment. Math. Univ. Carolinae 30 (1989), 565-577. (1989) | MR 1031873