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Zbl 0970.34005
Kalas, Josef
Nonuniqueness theorem for a singular Cauchy problem. (English)
[J] Georgian Math. J. 7, No.2, 317-327 (2000). ISSN 1072-947X; ISSN 1572-9176/e

A general nonuniqueness criterion for the nonsingular Cauchy problem obtained by the present author elsewhere [Dyn. Contin. Discrete Impulsive Syst. 3, No. 1, 97-111 (1997; Zbl 0870.34006)] is extended to a singular case. Since the scalar function has been replaced by the vector Lyapunov function, the results apply to wider classes of differential equations. A number of illustrative examples is considered.
[Yuri V.Rogovchenko (Famagusta)]

MSC 2000:: *34A12 Initial value problems for ODE

Keywords: uniqueness and nonuniqueness of solutions; singular Cauchy problem; Lyapunov functions

Citations: Zbl 0870.34006

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