# zbMATH — the first resource for mathematics

Connections between Hyers and Lyapunov stability of the ordinary differential equations. (English) Zbl 1159.34332
Summary: We consider two kinds of stability of the differential equation $$x'=f(t,x)$$ where $$f:\mathbb R^2\to\mathbb R$$ is a continuous function, Lipschitzian with respect to the second variable. We prove that the Hyers stability implies the one in the sense of Lyapunov whereas the converse is not true.

##### MSC:
 34D20 Stability of solutions to ordinary differential equations