The use of Lyapunov functions in uniqueness and nonuniqueness theorems

Josef Kalas

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 469-476
  • ISSN: 0044-8753

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Kalas, Josef. "The use of Lyapunov functions in uniqueness and nonuniqueness theorems." Archivum Mathematicum 036.5 (2000): 469-476. <http://eudml.org/doc/248534>.

@article{Kalas2000,
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {initial value problem; uniqueness and nonuniqueness of solutions; Lyapunov functions},
language = {eng},
number = {5},
pages = {469-476},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The use of Lyapunov functions in uniqueness and nonuniqueness theorems},
url = {http://eudml.org/doc/248534},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Kalas, Josef
TI - The use of Lyapunov functions in uniqueness and nonuniqueness theorems
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 469
EP - 476
LA - eng
KW - initial value problem; uniqueness and nonuniqueness of solutions; Lyapunov functions
UR - http://eudml.org/doc/248534
ER -

References

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  1. 1. Agarwal R. P., Lakshmikantham V., Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations, Series in Real Analysis 6, World Scientific, 1993. (1993) Zbl0785.34003MR1336820
  2. 2. Kalas J., Nonuniqueness for the solutions of ordinary differential equations, Czech. Math. Journal 29 (1979), 105–112. (1979) Zbl0396.34006MR0518144
  3. 3. Kalas J., Nonuniqueness results for ordinary differential equations, Czech. Math. Journal 48 (1998), 373–384. (1998) Zbl0957.34004MR1624272
  4. 4. Kalas J., General nonuniqueness theorem for ordinary differential equations, Dynamics of Continuous, Discrete and Impulsive Systems 3 (1997), 97–111. (1997) Zbl0870.34006MR1435818
  5. 5. Kalas J., Nonuniqueness theorem for a singular Cauchy problem, Georgian Math. J. 7 (2000), 317–327. Zbl0970.34005MR1779554
  6. 6. Kiguradze I., On the Cauchy problem for singular systems of ordinary differential equations, Differential’nye Uravneniya 1 (1965), 1271–1291 (Russian). (1965) MR0196185
  7. 7. Kiguradze I., Some Singular Boundary Value Problems for Ordinary Differential Equations, Tbilisi University Press, Tbilisi, 1975 (Russian). (1975) MR0499402
  8. 8. Nowak Chr., Some remarks on a paper by Samimi on nonuniqueness criteria for ordinary differential equations, Applicable Anal. 47 (1992), 39–44. (1992) Zbl0792.34002MR1214647
  9. 9. Nowak Chr., Stettner H., Nonuniqueness Results for Ordinary Differential Equations, Nonliner Analysis, Theory, Methods & Applications 30 (1997), 3935–3938. (1997) Zbl0887.34003MR1602915
  10. 10. Samimi M., Nonuniqueness criteria for ordinary differential equations, Applicable Anal. 13 (1982), 291–296. (1982) Zbl0464.34005MR0670663

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