Kalas, Josef The use of Lyapunov functions in uniqueness and nonuniqueness theorems. (English) Zbl 1090.34503 Arch. Math., Brno 36, Suppl., 469-476 (2000). In the paper there is given a survey of nonuniqueness theorems for the initial value problem \[ x'=f(t,x)\,\qquad x(t_0)=x_0 \] where \(f=(f_1,\dots ,f_n)\), \(x=(x_1,\dots ,x_n)\), \(x_0=(x_{01},\dots , x_{0n})\). The contribution is devoted to using Lyapunov functions in nonuniqueness theorems. Reviewer: Zuzana Došlá (Brno) MSC: 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:initial value problem; uniqueness and nonuniqueness of solutions; Lyapunov functions × Cite Format Result Cite Review PDF Full Text: EuDML EMIS