| Title:
|
General uniqueness theorems for ordinary differential equations (English) |
| Author:
|
Tesařová, Zuzana |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
16 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
217-223 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A12 |
| idZBL:
|
Zbl 0452.34001 |
| idMR:
|
MR594469 |
| . |
| Date available:
|
2008-06-06T06:08:27Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107077 |
| . |
| Reference:
|
[1] Antosiewicz H. A.: An inequality for approximate solutions of differential equations.Math. Zeit 78 (1962), 44-52. MR 0153910 |
| Reference:
|
[2] Borůvka O.: Über eine Verallgemeinerung der Eindeutigkeitssätze für Integrale der Differentialgleichung $y' = f(x, y)$.Acta Facultatis Rerum Natur. Univ. Comen. 1956, 155-167. MR 0096834 |
| Reference:
|
[3] Bгauеr F., Sternbеrg S.: Local uniqueness, existence in the large and the convergence of successive approximations.Ameг. J. Math. 80 (1958), 421-430. MR 0095303 |
| Reference:
|
[4] Brauer F.: Some results on uniqueness and successive approximations.Canad. J. Math. 11 (1959), 527-533. Zbl 0142.34305, MR 0108603 |
| Reference:
|
[5] Kamke E.: Über die eindeutige Bestimmtheit der Integrale von Differentialgleichungen.Math. Zeit. 32 (1930), 101-107. MR 1545153 |
| Reference:
|
[6] Laksmikantham V.: Uniqueness theorems for ordinary and hyperbolic differential equations.Michigan Math. J. 9 (1962), 161-166 . MR 0138837 |
| Reference:
|
[7] Lemmert R.: Über einen Satz von Witte.Math. Zeit. 145 (1975), 289. Zbl 0302.34002, MR 0390330 |
| Reference:
|
[8] Meyer R. D.: A general uniqueness theorem.Proc. Amer. Math. Soc. 17 (1966), 602-607. MR 0192096 |
| Reference:
|
[9] Okamura H.: Condition nécessaire et sufficiant remplie par les equations differentielles ordinaires points de Peano.Mem. Coll. Sci. Kyoto Univ. A 24 (1942), 55-61. |
| Reference:
|
[10] Перов A. И.: O Теоремах единственности для обыкновенных дифференциальных уровнений.Доклады Академии наук CCCP 120 (1958), 704-707. Zbl 0101.04502, MR 0102648 |
| Reference:
|
[11] Witte J.: Uniqueness theorem for ordinary differential equations $y' = f(x, y)$.Math. Zeit. 140 (1974), 281-287. |
| . |
