# On a “Liapunov like” function for an equation $\dot{z}=f(t,z)$ with a complex-valued function $f$

Archivum Mathematicum (1982)

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

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topKalas, 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

top- Hartman P., Ordinary Differential Equations, Wiley, New York/London/Sydney, 1964. (1964) Zbl0125.32102MR0171038
- 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
- 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
- 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. MR0718923
- Kalas J., Asymptotic properties of the solutions of the equation $\dot{z}=f(t,z)$ with a complex-valued function f, Arch. Math. (Brno) 17 (1981), 113-124. (1981) MR0672315
- Kalas J., [unknown], Arch. Math. (Brno) 17 (1981), 191-206. (1981) MR0672659
- Ráb M., The Riccati differential equation with complex-valued coefficients, Czech. Math. Journal 20 (1970), 491-503. (1970) MR0268452
- 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
- Sverdlove R., Vector fields defined by complex functions, J. Differential Equations 34 (1979), 427-439. (1979) Zbl0431.34034MR0555320

## Citations in EuDML Documents

top- Josef Kalas, Some results on the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
- Josef Kalas, Asymptotic behaviour of the equation $\dot{z}=G(t,z)[h\left(z\right)+g(t,z)]$
- Josef Kalas, Contributions to the asymptotic behaviour of the equation $\dot{z}=f(t,z)$ with a complex-valued function $f$
- Josef Kalas, Asymptotic nature of solutions of the equation $\dot{z}=f(t,z)$ with a complex valued function $f$

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