| Title:
|
The use of Lyapunov functions in uniqueness and nonuniqueness theorems (English) |
| Author:
|
Kalas, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
469-476 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A12 |
| MSC:
|
34A34 |
| MSC:
|
34D20 |
| idZBL:
|
Zbl 1090.34503 |
| idMR:
|
MR1822816 |
| . |
| Date available:
|
2008-06-06T22:27:10Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107761 |
| . |
| Reference:
|
1. Agarwal R. P., Lakshmikantham V.: Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations.Series in Real Analysis 6, World Scientific, 1993. Zbl 0785.34003, MR 1336820 |
| Reference:
|
2. Kalas J.: Nonuniqueness for the solutions of ordinary differential equations.Czech. Math. Journal 29 (1979), 105–112. Zbl 0396.34006, MR 0518144 |
| Reference:
|
3. Kalas J.: Nonuniqueness results for ordinary differential equations.Czech. Math. Journal 48 (1998), 373–384. Zbl 0957.34004, MR 1624272 |
| Reference:
|
4. Kalas J.: General nonuniqueness theorem for ordinary differential equations.Dynamics of Continuous, Discrete and Impulsive Systems 3 (1997), 97–111. Zbl 0870.34006, MR 1435818 |
| Reference:
|
5. Kalas J.: Nonuniqueness theorem for a singular Cauchy problem.Georgian Math. J. 7 (2000), 317–327. Zbl 0970.34005, MR 1779554 |
| Reference:
|
6. Kiguradze I.: On the Cauchy problem for singular systems of ordinary differential equations.Differential’nye Uravneniya 1 (1965), 1271–1291 (Russian). MR 0196185 |
| Reference:
|
7. Kiguradze I.: Some Singular Boundary Value Problems for Ordinary Differential Equations.Tbilisi University Press, Tbilisi, 1975 (Russian). MR 0499402 |
| Reference:
|
8. Nowak Chr.: 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 |
| Reference:
|
9. Nowak Chr., Stettner H.: Nonuniqueness Results for Ordinary Differential Equations.Nonliner Analysis, Theory, Methods & Applications 30 (1997), 3935–3938. Zbl 0887.34003, MR 1602915 |
| Reference:
|
10. Samimi M.: Nonuniqueness criteria for ordinary differential equations.Applicable Anal. 13 (1982), 291–296. Zbl 0464.34005, MR 0670663 |
| . |
