On a “Liapunov like” function for an equation z ˙ = f ( t , z ) with a complex-valued function f

Josef Kalas

Archivum Mathematicum (1982)

  • Volume: 018, Issue: 2, page 65-76
  • ISSN: 0044-8753

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Kalas, Josef. "On a “Liapunov like” function for an equation $\dot{z}=f(t,z)$ with a complex-valued function $f$." Archivum Mathematicum 018.2 (1982): 65-76. <http://eudml.org/doc/18078>.

@article{Kalas1982,
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {Lyapunov functions; asymptotic properties},
language = {eng},
number = {2},
pages = {65-76},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a “Liapunov like” function for an equation $\dot\{z\}=f(t,z)$ with a complex-valued function $f$},
url = {http://eudml.org/doc/18078},
volume = {018},
year = {1982},
}

TY - JOUR
AU - Kalas, Josef
TI - On a “Liapunov like” function for an equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 2
SP - 65
EP - 76
LA - eng
KW - Lyapunov functions; asymptotic properties
UR - http://eudml.org/doc/18078
ER -

References

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  1. Hartman P., Ordinary Differential Equations, Wiley, New York/London/Sydney, 1964. (1964) Zbl0125.32102MR0171038
  2. Kalas J., Asymptotic behaviour of the solutions of the equation dz/dt = f(t, z) with a complex-valued function f, Proceedings of the Colloquium on Qualitative Theory of Differential Equations, August 1979, Szeged-Hungary, Seria Colloquia Mathematica Societatis János Bolyai & North-Holland Publishing Company, pp. 431-462. (1979) MR0680606
  3. 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), 11-22. (1981) Zbl0475.34028MR0672484
  4. Kalas J., On certain asymptotic properties of the solutions of the equation z ˙ = f ( t , z ) with a complex-valued function f, Czech. Math. Journal, to appear. MR0718923
  5. Kalas J., Asymptotic properties of the solutions of the equation z ˙ = f ( t , z ) with a complex-valued function f, Arch. Math. (Brno) 17 (1981), 113-124. (1981) MR0672315
  6. Kalas J., [unknown], Arch. Math. (Brno) 17 (1981), 191-206. (1981) MR0672659
  7. Ráb M., The Riccati differential equation with complex-valued coefficients, Czech. Math. Journal 20 (1970), 491-503. (1970) MR0268452
  8. 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
  9. Sverdlove R., Vector fields defined by complex functions, J. Differential Equations 34 (1979), 427-439. (1979) Zbl0431.34034MR0555320

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