The Riccati differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$
Archivum mathematicum, Tome 18 (1982) no. 3, pp. 133-143 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 34D05
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     author = {Tesa\v{r}ov\'a, Zuzana},
     title = {The {Riccati} differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$},
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}
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Tesařová, Zuzana. The Riccati differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$. Archivum mathematicum, Tome 18 (1982) no. 3, pp. 133-143. http://geodesic.mathdoc.fr/item/ARM_1982_18_3_a3/

[1] Butlewski A.: Sur un mouvement plan. Ann. Polon. Math. 13 (1963), 139-161. | MR | Zbl

[2] Kulig C.: On a System of Differential Equations. Zeszyty Naukowe Univ. Jagiellonskiego, Prace Mat., Zeszyt 9, LXXVII (1963), 37-48. | MR | Zbl

[3] Ráb M.: The Riccati Differential Equation with Complex-valued coefficients. Czechoslovak Math. J. 20 (1970), 491-503. | MR | Zbl

[4] Ráb M.: Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients. Journal of Differential Equations 25 (1977), 108-114. | MR

[5] Ráb M.: Asymptotic behaviour of the equation $x" + p(t)x' + q(t)x = 0$ with complex-valued coefficients. Arch. Math. (Brno) 4 (1975), 193-204. | MR

[6] 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. Qualitative Theory of Differential Equations, Szeged (Hungary) 1979, pp. 431-462. | MR

[7] 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), 11-12. | MR | Zbl

[8] 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

[9] 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