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Title: Asymptotic nature of solutions of the equation $\dot z=f(t,z)$ with a complex valued function $f$ (English)
Author: Kalas, Josef
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 20
Issue: 2
Year: 1984
Pages: 83-94
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Category: math
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MSC: 34M99
idZBL: Zbl 0564.34005
idMR: MR784859
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Date available: 2008-06-06T06:13:22Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107190
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Reference: [2] Butlewski Z.: Sur un mouvement plan.Ann. Polon. Math. 13 (1963), 139-161. Zbl 0118.30503, MR 0153936
Reference: [3] Tesařová Z.: The Riccati differential equation with complex-valued coefficients and application to the equation $x" + P(t)x' + Q(t)x= 0$.Arch. Math. (Brno) 18 (1982), 133-143. MR 0682101
Reference: [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. MR 0680606
Reference: [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. Zbl 0475.34028, MR 0672484
Reference: [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. MR 0718923
Reference: [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. MR 0672315
Reference: [8] 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
Reference: [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. MR 0683347
Reference: [10] Kulig C.: On a system of differential equations.Zeszyty Naukowe Univ. Jagiellońskiego, Prace Mat., 77 (1963), 37-48. Zbl 0267.34029, MR 0204763
Reference: [11] Ráb M.: The Riccati differential equation with complex-valued coefficients.Czech. Math. J. 20 (1970), 491-503. MR 0268452
Reference: [12] Ráb M.: Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients.J. Diff. Equations 25 (1977), 108-114. MR 0492454
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