@article{ARM_1982_18_2_a1,
author = {Kalas, Josef},
title = {On a {{\textquotedblleft}Liapunov} like{\textquotedblright} function for an equation $\dot z=f(t,z)$ with a complex-valued function $f$},
journal = {Archivum mathematicum},
pages = {65--76},
year = {1982},
volume = {18},
number = {2},
mrnumber = {683347},
zbl = {0498.34039},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1982_18_2_a1/}
}
Kalas, Josef. On a “Liapunov like” function for an equation $\dot z=f(t,z)$ with a complex-valued function $f$. Archivum mathematicum, Tome 18 (1982) no. 2, pp. 65-76. http://geodesic.mathdoc.fr/item/ARM_1982_18_2_a1/
[1] Hartman P.: Ordinary Differential Equations. Wiley, New York/London/Sydney, 1964. | MR | Zbl
[2] Kalas J.: Asymptotic behaviour of the solutions of the equation dz/dt = f(t, z) with a complex-valued function f. Proceedings of the Colloquium on Qualitative Theory of Differential Equations, August 1979, Szeged-Hungary, Seria Colloquia Mathematica Societatis János Bolyai & North-Holland Publishing Company, pp. 431-462. | MR
[3] Kalas J.: On the asymptotic behaviour of the equation dz/dt =f(t,z) with a complex-valued function f. Arch. Math. (Brno) 17 (1981), 11-22. | MR | Zbl
[4] Kalas J.: On certain asymptotic properties of the solutions of the equation $\dot{z} = f(t, z)$ with a complex-valued function f. Czech. Math. Journal, to appear. | MR
[5] Kalas J.: Asymptotic properties of the solutions of the equation $\dot{z} = f(t, z)$ with a complex-valued function f. Arch. Math. (Brno) 17 (1981), 113-124. | MR
[6] Kalas J.: Asymptotic behaviour of equations $\dot{z] = q(t, z) - p(t) z^2$ and $\ddot{x} = x \varphi(t, \dot{x} x^{-1})$. Arch. Math. (Brno) 17 (1981), 191-206. | MR
[7] Ráb M.: The Riccati differential equation with complex-valued coefficients. Czech. Math. Journal 20 (1970), 491-503. | MR
[8] Ráb M.: Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients. J. Diff. Equations 25 (1977), 108-114. | MR
[9] Sverdlove R.: Vector fields defined by complex functions. J. Differential Equations 34 (1979), 427-439. | MR | Zbl