Kalas, Josef Some results on the asymptotic behaviour of the equation \(\dot z=f(t,z)\) with a complex-valued function f. (English) Zbl 0585.34037 Arch. Math., Brno 21, 195-199 (1985). 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. Cited in 1 Document MSC: 34E05 Asymptotic expansions of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:singular point; first order differential equation; Lyapunov function method; example × Cite Format Result Cite Review PDF Full Text: EuDML