General uniqueness theorems for ordinary differential equations

Zuzana Došlá; Ondřej Došlý

Archivum Mathematicum (1980)

  • Volume: 016, Issue: 4, page 217-223
  • ISSN: 0044-8753

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Došlá, Zuzana, and Došlý, Ondřej. "General uniqueness theorems for ordinary differential equations." Archivum Mathematicum 016.4 (1980): 217-223. <http://eudml.org/doc/18038>.

@article{Došlá1980,
author = {Došlá, Zuzana, Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {initial value problem},
language = {eng},
number = {4},
pages = {217-223},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {General uniqueness theorems for ordinary differential equations},
url = {http://eudml.org/doc/18038},
volume = {016},
year = {1980},
}

TY - JOUR
AU - Došlá, Zuzana
AU - Došlý, Ondřej
TI - General uniqueness theorems for ordinary differential equations
JO - Archivum Mathematicum
PY - 1980
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 016
IS - 4
SP - 217
EP - 223
LA - eng
KW - initial value problem
UR - http://eudml.org/doc/18038
ER -

References

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  1. Antosiewicz H. A., An inequality for approximate solutions of differential equations, Math. Zeit 78 (1962), 44-52. (1962) MR0153910
  2. Borůvka O., Über eine Verallgemeinerung der Eindeutigkeitssätze für Integrale der Differentialgleichung y ' = f ( x , y ) , Acta Facultatis Rerum Natur. Univ. Comen. 1956, 155-167. (1956) MR0096834
  3. Bгauеr F., Sternbеrg S., Local uniqueness, existence in the large and the convergence of successive approximations, Ameг. J. Math. 80 (1958), 421-430. (1958) MR0095303
  4. Brauer F., Some results on uniqueness and successive approximations, Canad. J. Math. 11 (1959), 527-533. (1959) Zbl0142.34305MR0108603
  5. Kamke E., Über die eindeutige Bestimmtheit der Integrale von Differentialgleichungen, Math. Zeit. 32 (1930), 101-107. (1930) MR1545153
  6. Laksmikantham V., Uniqueness theorems for ordinary and hyperbolic differential equations, Michigan Math. J. 9 (1962), 161-166 . (1962) MR0138837
  7. Lemmert R., Über einen Satz von Witte, Math. Zeit. 145 (1975), 289. (1975) Zbl0302.34002MR0390330
  8. Meyer R. D., A general uniqueness theorem, Proc. Amer. Math. Soc. 17 (1966), 602-607. (1966) MR0192096
  9. Okamura H., Condition nécessaire et sufficiant remplie par les equations differentielles ordinaires points de Peano, Mem. Coll. Sci. Kyoto Univ. A 24 (1942), 55-61. (1942) 
  10. Перов A. И., O Теоремах единственности для обыкновенных дифференциальных уровнений, Доклады Академии наук CCCP 120 (1958), 704-707. (1958) Zbl0101.04502MR0102648
  11. Witte J., Uniqueness theorem for ordinary differential equations y ' = f ( x , y ) , Math. Zeit. 140 (1974), 281-287. (1974) 

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