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Nonuniqueness theorem for a singular Cauchy problem. (English) Zbl 0970.34005
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 Since the scalar function has been replaced by the vector Lyapunov function, the results apply to wider classes of differential equations.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.

MSC:
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Citations:
Zbl 0870.34006
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