Nonuniqueness results for ordinary differential equations. (English) Zbl 0887.34003

Summary: We investigate the problem of nonuniqueness for the initial value problem \(\dot x=f(t,x)\), \(x(t_0)=x_0\), and analyze criteria for the existence of at least two different solutions. Some known conditions for nonuniqueness are revised.


34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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