Contributions to the asymptotic behaviour of the equation z ˙ = f ( t , z ) with a complex-valued function f

Josef Kalas

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 1, page 31-45
  • ISSN: 0011-4642

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Kalas, Josef. "Contributions to the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$." Czechoslovak Mathematical Journal 40.1 (1990): 31-45. <http://eudml.org/doc/13828>.

@article{Kalas1990,
author = {Kalas, Josef},
journal = {Czechoslovak Mathematical Journal},
keywords = {Asymptotic properties; holomorphic function; Lyapunov function method; Riccati equation},
language = {eng},
number = {1},
pages = {31-45},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contributions to the asymptotic behaviour of the equation $\dot\{z\}=f(t,z)$ with a complex-valued function $f$},
url = {http://eudml.org/doc/13828},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Kalas, Josef
TI - Contributions to the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 1
SP - 31
EP - 45
LA - eng
KW - Asymptotic properties; holomorphic function; Lyapunov function method; Riccati equation
UR - http://eudml.org/doc/13828
ER -

References

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  1. J. Kalas, On a “Liapunov-like” function for an equation z ˙ = f ( t , z ) with a complex-valued function f , Arch. Math. (Brno) 18 (1982), 65-76. (1982) MR0683347
  2. J. Kalas, Asymptotic nature of solutions of the equation z ˙ = f ( t , z ) with a complex-valued function f , Arch. Math. (Brno) 20 (1984), 83-94. (1984) Zbl0564.34005MR0784859
  3. J. Kalas, Some results on the asymptotic behaviour of the equation z ˙ = f ( t , z ) with a complex-valued function f , Arch. Math. (Brno) 21 (1985), 195-199. (1985) Zbl0585.34037MR0833131
  4. J. Kalas, Asymptotic behaviour of the solutions of the equation d z / d t = 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. (1979) MR0680606
  5. J. Kalas, On certain asymptotic properties of the solutions of the equation z ˙ = f ( t , z ) with a complex-valued function f , Czech. Math. J. 33 (1983), 390-407. (1983) MR0718923
  6. C. Kulig, On a system of differential equations, Zeszyty Naukowe Univ. Jagiellonskiego, Prace Mat., Zeszyt 9, 77 (1963), 37-48. (1963) Zbl0267.34029MR0204763
  7. M. Ráb, Equation Z ' = A ( t ) - Z 2 coefficient of which has a small modulus, Czech. Math. J. 27 (1971), 311-317. (1971) MR0287096
  8. M. Ráb, 10.1016/0022-0396(77)90183-8, J. Diff. Equations 25 (1977), 108-114. (1977) MR0492454DOI10.1016/0022-0396(77)90183-8
  9. Z. Tesařová, 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. (1982) MR0682101

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