# Asymptotic behaviour of equations $\dot{z}=q(t,z)-p\left(t\right){z}^{2}$ and $\ddot{x}=x\varphi (t,\dot{x}{x}^{-1})$

Archivum Mathematicum (1981)

- Volume: 017, Issue: 4, page 191-206
- ISSN: 0044-8753

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topKalas, Josef. "Asymptotic behaviour of equations $\dot{z}=q(t,z)-p(t)z^2$ and $\ddot{x}=x\varphi (t,\dot{x}x^{-1})$." Archivum Mathematicum 017.4 (1981): 191-206. <http://eudml.org/doc/18067>.

@article{Kalas1981,

author = {Kalas, Josef},

journal = {Archivum Mathematicum},

language = {eng},

number = {4},

pages = {191-206},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Asymptotic behaviour of equations $\dot\{z\}=q(t,z)-p(t)z^2$ and $\ddot\{x\}=x\varphi (t,\dot\{x\}x^\{-1\})$},

url = {http://eudml.org/doc/18067},

volume = {017},

year = {1981},

}

TY - JOUR

AU - Kalas, Josef

TI - Asymptotic behaviour of equations $\dot{z}=q(t,z)-p(t)z^2$ and $\ddot{x}=x\varphi (t,\dot{x}x^{-1})$

JO - Archivum Mathematicum

PY - 1981

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 017

IS - 4

SP - 191

EP - 206

LA - eng

UR - http://eudml.org/doc/18067

ER -

## References

top- Kаlаs J., Asymptotic behaviour of the solutions of the equation dz/dt =f(t, z) with acomplex-valued function f, Proceedings of tһe Internаtionаl Colloquium on Quаlitаtive Theory of Differentiаl Equаtions, August 1979, Szeged - Hungаry, Seriа Colloquiа Mаthemаticа Societаtis János Bolyаi & North-Hollаnd Publishing Compаny, pp. 431-462. (1979)
- Kаlаs J., On the asymptotic behaviour of the equation dz/dt =f(t,z) with a complex-valued function f, Arch. Mаth. (Brno), 17 (1981), 11-22. (1981) MR0672484
- Kаlаs J., On certain asymptotic properties of the solutions of the equation ż = f(t, z) with a complex-valued function f, Czech. Mаth. Journаl, to аppeаr.
- Kаlаs J., Asymptotic properties of the solutions of the equation ż = f(t, z) with a complex-valued function f, Arch. Mаth. (Bmo), 17 (1981) 11З-124. (1981)
- Ráb M., The Riccati differential equation with complex-valued coefficients, Czech. Mаth. Journаl 20 (1970), 491-503. (1970) Zbl0215.14201MR0268452
- Ráb M., Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients, J. Differentiаl Equаtions 25 (1977), 108-114. (1977) Zbl0331.34006MR0492454
- Ráb M., Asymptotic behaviour of the equation x" + p(t)x' + q(t)x = 0 with complex-valued coefficients, Arch. Mаth. (Bгno) 11 (1975), 193-204. (1975) Zbl0356.34044MR0404776

## Citations in EuDML Documents

top- Zuzana Došlá, The Riccati differential equation with complex-valued coefficients and application to the equation ${x}^{\text{'}\text{'}}+P\left(t\right){x}^{\text{'}}+Q\left(t\right)x=0$
- Josef Kalas, On a “Liapunov like” function for an 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 $f$
- Josef Kalas, Asymptotic behaviour of a difference equation with complex-valued coefficients

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