×

Some results on the asymptotic behaviour of the equation \(\dot z=f(t,z)\) with a complex-valued function f. (English) Zbl 0585.34037

Summary: Asymptotic properties of the solutions of an equation \(\dot z=f(t,z)\) with a complex-valued function f are studied. The technique of the proofs of the results is based on the modified Lyapunov function method. The applicability of the results is illustrated by an example.

MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations