| Title:
|
Nonuniqueness results for ordinary differential equations (English) |
| Author:
|
Kalas, Josef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
373-384 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we give general nonuniqueness results which cover most of the known nonuniqueness criteria. In particular, we obtain a generalization of the nonuniqueness theorem of Chr. Nowak, of Samimi’s nonuniqueness theorem and of Stettner’s nonuniqueness criterion. (English) |
| MSC:
|
34A12 |
| MSC:
|
34A34 |
| idZBL:
|
Zbl 0957.34004 |
| idMR:
|
MR1624272 |
| . |
| Date available:
|
2009-09-24T10:14:24Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127424 |
| . |
| Reference:
|
[1] R. P. Agarwal, V. Lakshmikantham: Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations.World Scientific, 1993. MR 1336820 |
| Reference:
|
[2] J. Kalas: Nonuniqueness for the solutions of ordinary differential equations.Czechoslovak Math. Journal 29 (1979), 105–112. Zbl 0396.34006, MR 0518144 |
| Reference:
|
[3] V. Lakshmikantham: On the Kamke’s function in the uniqueness theorem of ordinary differential equations.Proc. Nat. Acad. Sci. India Ser. A 34 (1964), 11–14. Zbl 0166.34103, MR 0218635 |
| Reference:
|
[4] V. Lakshmikantham, S. Leela: Differential and Integral Inequalities.Vol. I, Academic Press, New York, 1969. |
| Reference:
|
[5] Chr. Nowak: Some remarks on a paper by Samimi on nonuniqueness criteria for ordinary differential equations.Applicable Anal. 47 (1992), 39–44. Zbl 0792.34002, MR 1214647, 10.1080/00036819208840130 |
| Reference:
|
[6] Chr. Nowak: Uniqueness and nonuniqueness results for ordinary differential equations.(manuscript). Zbl 0882.34003 |
| Reference:
|
[7] M. Samimi: Nonuniqueness criteria for ordinary differential equations.Applicable Anal. 13 (1982), 291–296. Zbl 0464.34005, MR 0670663, 10.1080/00036818208839400 |
| Reference:
|
[8] H. Stettner: Nichteindeutigkeit bei gewöhnlichen Differentialgleichungen.Math. Nachrichten 64 (1974), 233–237. Zbl 0297.34003, MR 0357933, 10.1002/mana.19740640113 |
| . |
