| Title:
|
The Riccati differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$ (English) |
| Author:
|
Tesařová, Zuzana |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
18 |
| Issue:
|
3 |
| Year:
|
1982 |
| Pages:
|
133-143 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0514.34042 |
| idMR:
|
MR682101 |
| . |
| Date available:
|
2008-06-06T06:10:59Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107135 |
| . |
| Reference:
|
[1] Butlewski A.: Sur un mouvement plan.Ann. Polon. Math. 13 (1963), 139-161. Zbl 0118.30503, MR 0153936 |
| Reference:
|
[2] Kulig C.: On a System of Differential Equations.Zeszyty Naukowe Univ. Jagiellonskiego, Prace Mat., Zeszyt 9, LXXVII (1963), 37-48. Zbl 0267.34029, MR 0204763 |
| Reference:
|
[3] Ráb M.: The Riccati Differential Equation with Complex-valued coefficients.Czechoslovak Math. J. 20 (1970), 491-503. Zbl 0215.14201, MR 0268452 |
| Reference:
|
[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 0492454 |
| Reference:
|
[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 0404776 |
| Reference:
|
[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 0680606 |
| Reference:
|
[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. Zbl 0475.34028, MR 0672484 |
| Reference:
|
[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 0718923 |
| Reference:
|
[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 0672659 |
| . |
