| Title:
|
A remark on uniqueness criteria for initial value problem (English) |
| Author:
|
Došlá, Zuzana |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
447-453 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A10 |
| MSC:
|
34A12 |
| idZBL:
|
Zbl 0685.34005 |
| idMR:
|
MR1031862 |
| . |
| Date available:
|
2008-06-05T21:39:32Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106766 |
| . |
| Reference:
|
[1] Banas' J., Hajnosz A., Wedrychowicz S.: Relations among various criteria of uniqueness for ordinary differential equations.Comment. Math. Univ. Carolinae 22 (1981), 59-70. Zbl 0448.34002, MR 0609936 |
| Reference:
|
[2] Banas' J., Rivero J.: Remarks concerning I. Witte's theorem and its applications.Comment. Math. Univ. Carolinae 28 (1987), 23-31. MR 0889765 |
| Reference:
|
[3] Bernfeld S. R., Driver R. D., Lakshmikantham V.: Uniqueness for ordinary differential equations.Math. Systems Theory 9 (1975/6), 359-367. MR 0447673 |
| Reference:
|
[4] Lemmert R.: Über einen Satz von Wiite.Math. Z. 145 (1975), p. 289. MR 0390330 |
| Reference:
|
[5] Lemmert R.: Zur Eindentigkeitsbedingung von Nagumo.Comment. Math. Univ. Carolinae 29 (1988), 293-294. MR 0957398 |
| Reference:
|
[6] Olech C.: Remarks concerning criteria for uniqueness of solutions of ordinary differential equations.Bull. Acad. Polon. Sci., Ser. sci math., astr. et phys. 8 (1960), 661-666. Zbl 0173.33701, MR 0132228 |
| Reference:
|
[7] Perron O.: Über Ein- und Mehrdeutigkeit des Integrals eines Systems von Differentialgleichungen.Math. Ann. 95 (1926), 98-101. MR 1512265 |
| Reference:
|
[8] Tesařová Z., Došlý O.: General uniqueness theorems for ordinary differential equations.Arch. Math. 4, 10 (1980), 217-224. MR 0594469 |
| Reference:
|
[9] Walter W.: Bemerkungen zu verschiedenen Eindeutigkeitskriterien für gewöhnliche Difftrentialgleichungen.Math. Z. 84 (1964), 222-227. MR 0167676 |
| Reference:
|
[10] Witte J.: Uniqueness theorem for ordinary differential equations $y' = f(x,y)$.Math. Z. 140 (1974), 281-287. |
| . |
