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Nonuniqueness results for ordinary differential equations. (English) Zbl 0957.34004
The author presents several criteria assuring nonuniqueness of the initial value problem \(x'=f(t,x)\), \(x(0)=x_0\), His results generalize a.o. the results due to Chr. Nowak [Appl. Anal. 47, No. 1, 39-44 (1992; Zbl 0792.34002)], M. Samimi [Appl. Anal. 13, 291-296 (1982; Zbl 0464.34005)] and H. Stettner [Math. Nachr. 64, 233-237 (1974; Zbl 0297.34003)].
Reviewer: M.Tvrdý (Praha)

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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[1] R. P. Agarwal, V. Lakshmikantham: Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations. World Scientific, 1993. · Zbl 0785.34003
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[6] Chr. Nowak: Uniqueness and nonuniqueness results for ordinary differential equations. · Zbl 0882.34003
[7] M. Samimi: Nonuniqueness criteria for ordinary differential equations. Applicable Anal. 13 (1982), 291-296. · Zbl 0464.34005
[8] H. Stettner: Nichteindeutigkeit bei gewöhnlichen Differentialgleichungen. Math. Nachrichten 64 (1974), 233-237. · Zbl 0297.34003
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