New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by a method of a priori estimates.
@article{107973,
author = {Anh Tuan Nguyen},
title = {On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order},
journal = {Archivum Mathematicum},
volume = {041},
year = {2005},
pages = {451-460},
zbl = {1117.34019},
mrnumber = {2195497},
language = {en},
url = {http://dml.mathdoc.fr/item/107973}
}
Nguyen, Anh Tuan. On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order. Archivum Mathematicum, Tome 041 (2005) pp. 451-460. http://gdmltest.u-ga.fr/item/107973/
Ob odnom klasse nelineinykh kraevykh zadach, Trudy IPM Im. Vekua TGU 3 (1988), 53–71. (1988)
Ordinary differential equations, John Wiley & Sons, 1964. (1964) | MR 0171038 | Zbl 0125.32102
Boundary value problems for systems of ordinary differential equations, (Russian), Current problems in mathematics. Newest results, VINI’TI, Moscow 30 (1987), 3–103. (1987) | MR 0925829 | Zbl 0782.34025
Sur certains problemes aux limites pour des equations differentielles ordinaires d’ordre $n$, Seminaire de math. (Nouvelle série), IMPA UC Louvain-la-Neuve, Rapport No 24, Mai 1983, 1–6. (1983)
On one class of solvable boundary value problems for ordinary differential equation of $n$-th order, Comment. Math. Univ. Carolin. 35, 2 (1994), 299–309. (1994) | MR 1286577 | Zbl 0841.34020