The use of Lyapunov functions in uniqueness and nonuniqueness theorems
Kalas, Josef
Archivum Mathematicum, Tome 036 (2000), p. 469-476 / Harvested from Czech Digital Mathematics Library
Publié le : 2000-01-01
Classification:  34A12,  34A34,  34D20
@article{107761,
     author = {Josef Kalas},
     title = {The use of Lyapunov functions in uniqueness and nonuniqueness theorems},
     journal = {Archivum Mathematicum},
     volume = {036},
     year = {2000},
     pages = {469-476},
     zbl = {1090.34503},
     mrnumber = {1822816},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107761}
}
Kalas, Josef. The use of Lyapunov functions in uniqueness and nonuniqueness theorems. Archivum Mathematicum, Tome 036 (2000) pp. 469-476. http://gdmltest.u-ga.fr/item/107761/

1. Agarwal R. P.; Lakshmikantham V. Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations, Series in Real Analysis 6, World Scientific, 1993. (1993) | MR 1336820 | Zbl 0785.34003

2. Kalas J. Nonuniqueness for the solutions of ordinary differential equations, Czech. Math. Journal 29 (1979), 105–112. (1979) | MR 0518144 | Zbl 0396.34006

3. Kalas J. Nonuniqueness results for ordinary differential equations, Czech. Math. Journal 48 (1998), 373–384. (1998) | MR 1624272 | Zbl 0957.34004

4. Kalas J. General nonuniqueness theorem for ordinary differential equations, Dynamics of Continuous, Discrete and Impulsive Systems 3 (1997), 97–111. (1997) | MR 1435818 | Zbl 0870.34006

5. Kalas J. Nonuniqueness theorem for a singular Cauchy problem, Georgian Math. J. 7 (2000), 317–327. | MR 1779554 | Zbl 0970.34005

6. Kiguradze I. On the Cauchy problem for singular systems of ordinary differential equations, Differential’nye Uravneniya 1 (1965), 1271–1291 (Russian). (1965) | MR 0196185

7. Kiguradze I. Some Singular Boundary Value Problems for Ordinary Differential Equations, Tbilisi University Press, Tbilisi, 1975 (Russian). (1975) | MR 0499402

8. Nowak Chr. Some remarks on a paper by Samimi on nonuniqueness criteria for ordinary differential equations, Applicable Anal. 47 (1992), 39–44. (1992) | MR 1214647 | Zbl 0792.34002

9. Nowak Chr.; Stettner H. Nonuniqueness Results for Ordinary Differential Equations, Nonliner Analysis, Theory, Methods & Applications 30 (1997), 3935–3938. (1997) | MR 1602915 | Zbl 0887.34003

10. Samimi M. Nonuniqueness criteria for ordinary differential equations, Applicable Anal. 13 (1982), 291–296. (1982) | MR 0670663 | Zbl 0464.34005