Asymptotic nature of solutions of the equation $\dot{z}=f(t,z)$ with a complex valued function $f$

 Access to full text

 Full (PDF)

1. Butlewski Z., O pewnym ruchu plaskim, Zeszyty Naukowe Polit. Poznanskiej, 2 (1957), 93-122. (1957) 
2. Butlewski Z., Sur un mouvement plan, Ann. Polon. Math. 13 (1963), 139-161. (1963) Zbl0118.30503MR0153936
3. Tesařová Z., The Riccati differential equation with complex-valued coefficients and application to the equation $x"+P\left(t\right)x^{\text{'}}+Q\left(t\right)x=0$, Arch. Math. (Brno) 18 (1982), 133-143. (1982) MR0682101
4. Kalas J., Asymptotic behaviour of the solutions of the equation dz/dt = f(t, z) with a complex-valued function f, Colloquia Mathematica Societatis János Bolyai, 30. QualitativeTheoгy of Differential Equations, Szeged (Hungary), 1979, pp. 431 -462. (1979) MR0680606
5. Kalas J., On the asymptotic behaviour of the equation dz/dt =f(t,z) with a complex-valued function f, Arch. Math. (Brao) 17 (1981), 11 -22. (1981) Zbl0475.34028MR0672484
6. 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. J., 33 (1983), 390-407. (1983) MR0718923
7. Kalas J., Asymptotic properties of the solutions of the equation $\dot{z}=f(t,z)$ with a complex-valued functionf, Arch. Math. (Brno) 17 (1981), 113-123. (1981) MR0672315
8. Kalas J., Asymptotic behaviour of equations $\dot{z}=q(t,z)-p\left(t\right)z^2$ and $\ddot{x}=x\varphi (t,\dot{x}{x}^{-1})$, Arch. Math. (Brno) 17 (1981), 191-206. (1981) MR0672659
9. Kalas J., On a „Liapunov-like" function for an equation $\dot{z}=f(t,z)$ with a complex-valued function f, Arch. Math. (Brno) 18 (1982), 65-76. (1982) MR0683347
10. Kulig C., On a system of differential equations, Zeszyty Naukowe Univ. Jagiellońskiego, Prace Mat., 77 (1963), 37-48. (1963) Zbl0267.34029MR0204763
11. Ráb M., The Riccati differential equation with complex-valued coefficients, Czech. Math. J. 20 (1970), 491-503. (1970) MR0268452
12. Ráb M., Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients, J. Diff. Equations 25 (1977), 108-114. (1977) MR0492454

1. Josef Kalas, Contributions to the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
2. Josef Kalas, Asymptotic behaviour of the equation $\dot{z}=G(t,z)[h\left(z\right)+g(t,z)]$