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ArticleOriginal scientific text

Title

Remarks concerning Driver's equation

Authors 1, 1

Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe, Englerstr. 2, Postfach 6380, D-76128 Karlsruhe 1, Germany

Abstract

We consider uniqueness for the initial value problem x' = 1 + f(x) - f(t), x(0) = 0. Several uniqueness criteria are given as well as an example of non-uniqueness.

Keywords

ENG
ordinary differential equations, uniqueness conditions

Bibliography

  1. R. D. Driver, Advanced problem 5415, Amer. Math. Monthly 73 (1966), 783.
  2. R. D. Driver, D. W. Sasser and R. J. Thompson, Solutions of advanced problems, Amer. Math. Monthly 76 (1969), 948-949.
  3. Ch. Nowak, Eindeutigkeit und Nichteindeutigkeit bei gewöhnlichen Differentialgleichungen, Habilitationsschrift, Universität Klagenfurt, 1990.
  4. W. Walter, Gewöhnliche Differentialgleichungen, 4. Auflage, Springer, Berlin, 1990.
Annales Polonici Mathematici
1994/59/2
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Pages:
197-202
Main language of publication
English
Received
1993-07-29
Accepted
1994-02-07
Published
1994
Exact and natural sciences