| Title:
|
On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order (English) |
| Author:
|
Nguyen, Anh Tuan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
451-460 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
boundary value problem with functional condition |
| Keyword:
|
differential equation of $n$-th order |
| Keyword:
|
method of a priori estimates |
| Keyword:
|
differential inequalities |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 1117.34019 |
| idMR:
|
MR2195497 |
| . |
| Date available:
|
2008-06-06T22:46:54Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107973 |
| . |
| Reference:
|
[1] Gegelia G. T.: Ob odnom klasse nelineinykh kraevykh zadach.Trudy IPM Im. Vekua TGU 3 (1988), 53–71. |
| Reference:
|
[2] Hartman P.: Ordinary differential equations.John Wiley & Sons, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[3] Kiguradze I.: Boundary value problems for systems of ordinary differential equations.(Russian), Current problems in mathematics. Newest results, VINI’TI, Moscow 30 (1987), 3–103. Zbl 0782.34025, MR 0925829 |
| Reference:
|
[4] Půža B.: 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. |
| Reference:
|
[5] Nguyen Anh Tuan: 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. Zbl 0841.34020, MR 1286577 |
| . |
