The use of Lyapunov functions in uniqueness and nonuniqueness theorems

Josef Kalas

Address. Department of Mathematics, Faculty of Science, Masaryk University, Janackovo nam 2a, 662 95 Brno,
                Czech Republic

E-mail: kalas@math.muni.cz

Abstract. The contribution is devoted to using Lyapunov functions in uniqueness and nonuniqueness theorems. The survey of nonuniqueness results utilizing Lyapunov functions is given.

AMSclassification. 34A12, 34A34

Keywords. Uniqueness and nonuniqueness of solutions, Lyapunov functions