| Title:
|
On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{xy}=f(x,y,u,u_x,u_y)$ (English) |
| Author:
|
Ďurikovič, Vladimír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
4 |
| Issue:
|
4 |
| Year:
|
1968 |
| Pages:
|
223-235 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A35 |
| MSC:
|
35L20 |
| idZBL:
|
Zbl 0208.12901 |
| idMR:
|
MR0262644 |
| . |
| Date available:
|
2008-06-05T17:53:28Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104670 |
| . |
| Reference:
|
[1] Kampen van E. R.: Notes on systems of ordinary differential equations.American Journal of Math. 63 (1941), pp. 371-376. MR 0003896 |
| Reference:
|
[2] Luxemburg W. A. J.: On the convergence of successive approximations in the theory of ordinary differential equations II.Indag. Math. 20 (1958), pp. 540-546. Zbl 0084.07703, MR 0124554 |
| Reference:
|
[3] Luxemburg W. A. J.: On the convergence of successive approximations in the theory of ordinary differential equations III.Nieuw Archief voor Wiskunde (3), VI (1958), pp. 93-98. Zbl 0085.30201, MR 0124555 |
| Reference:
|
[4] Palczewski B.: On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem under the conditions of the Krasnosilski and Krein type.Ann. polon. Math. 14 (1964), pp. 183-190. MR 0161014 |
| Reference:
|
[5] Ф. Tpикоми: Лекции пo ypaвнениям в частых производных.Mocквa 1957, pp 205-216. |
| Reference:
|
[6] Wong J. S. W.: On the convergence of successive approximations in the Darboux problem.Ann. Polon. Math. XVII (1966), pp. 329-336. Zbl 0144.13704, MR 0188579 |
| Reference:
|
[7] Wong J. S. W.: Remarks on uniqueness theorem of solutions of the Darboux problem.Canad. Math. Bull. 8 (1965), pp. 791-796. MR 0193378 |
| . |
