# Asymptotic behaviour of the equation ${x}^{\text{'}\text{'}}+p\left(t\right){x}^{\text{'}}+q\left(t\right)x=0$ with complex-valued coefficients

Archivum Mathematicum (1975)

- Volume: 011, Issue: 4, page 193-204
- ISSN: 0044-8753

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top## How to cite

topRáb, Miloš. "Asymptotic behaviour of the equation $x^{\prime \prime }+p(t)x^{\prime }+q(t)x=0$ with complex-valued coefficients." Archivum Mathematicum 011.4 (1975): 193-204. <http://eudml.org/doc/15999>.

@article{Ráb1975,

author = {Ráb, Miloš},

journal = {Archivum Mathematicum},

language = {eng},

number = {4},

pages = {193-204},

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

title = {Asymptotic behaviour of the equation $x^\{\prime \prime \}+p(t)x^\{\prime \}+q(t)x=0$ with complex-valued coefficients},

url = {http://eudml.org/doc/15999},

volume = {011},

year = {1975},

}

TY - JOUR

AU - Ráb, Miloš

TI - Asymptotic behaviour of the equation $x^{\prime \prime }+p(t)x^{\prime }+q(t)x=0$ with complex-valued coefficients

JO - Archivum Mathematicum

PY - 1975

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

VL - 011

IS - 4

SP - 193

EP - 204

LA - eng

UR - http://eudml.org/doc/15999

ER -

## References

top- Mařík J., Ráb M., Nichtoszillatorische lineare Differentialgleichungen 2. Ordnung, Czech. Math. J. 13 (88) 1963, 209-225. (1963) MR0159992
- Ráb M., The Riccati differential equation with complex-valued coefficients, Czech. Math. J. 20 (95) 1970, 491-503. (1970) MR0268452
- Ráb M., Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients, (To appear in J. Differential Equations). MR0492454
- Hartman P., Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney 1966. (1966) MR0171038

## Citations in EuDML Documents

top- Josef Kalas, Asymptotic behaviour of equations $\dot{z}=q(t,z)-p\left(t\right){z}^{2}$ and $\ddot{x}=x\varphi (t,\dot{x}{x}^{-1})$
- Zuzana Došlá, The Riccati differential equation with complex-valued coefficients and application to the equation ${x}^{\text{'}\text{'}}+P\left(t\right){x}^{\text{'}}+Q\left(t\right)x=0$

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