# On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order

Časopis pro pěstování matematiky (1986)

- Volume: 111, Issue: 3, page 225-229
- ISSN: 0528-2195

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top## How to cite

topAndres, Ján. "On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order." Časopis pro pěstování matematiky 111.3 (1986): 225-229. <http://eudml.org/doc/18987>.

@article{Andres1986,

author = {Andres, Ján},

journal = {Časopis pro pěstování matematiky},

keywords = {third order differential equation; Lyapunov's second method; asymptotic stable solution; isolated zero points},

language = {eng},

number = {3},

pages = {225-229},

publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},

title = {On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order},

url = {http://eudml.org/doc/18987},

volume = {111},

year = {1986},

}

TY - JOUR

AU - Andres, Ján

TI - On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order

JO - Časopis pro pěstování matematiky

PY - 1986

PB - Mathematical Institute of the Czechoslovak Academy of Sciences

VL - 111

IS - 3

SP - 225

EP - 229

LA - eng

KW - third order differential equation; Lyapunov's second method; asymptotic stable solution; isolated zero points

UR - http://eudml.org/doc/18987

ER -

## References

top- E. A. Barbashin, Liapunov Functions, (in Russian). Nauka, Moscow 1970. (1970)
- V. Haas, A stability result for a third order nonlinear differential equation, J. London Math. Soc. 40 (1965), 31-33. (1965) Zbl0126.30401MR0171057

## Citations in EuDML Documents

top- Ján Andres, Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term
- Ján Andres, Boundedness results of solutions to the equation ${x}^{\mathrm{\prime \prime \prime}}+a{x}^{\mathrm{\prime \prime}}+g(x){x}^{\prime}+h(x)=p(t)$ without the hypothesis $h(x)\text{sgn}x\ge 0$ $for|x|>R$.

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