# Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation

Mathematica Bohemica (2002)

- Volume: 127, Issue: 3, page 385-396
- ISSN: 0862-7959

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topBartušek, Miroslav, and Osička, Jan. "Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation." Mathematica Bohemica 127.3 (2002): 385-396. <http://eudml.org/doc/249034>.

@article{Bartušek2002,

abstract = {Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates $y^\{[4]\}+r(t)f(y)=0$ is studied.},

author = {Bartušek, Miroslav, Osička, Jan},

journal = {Mathematica Bohemica},

keywords = {oscillatory solution; fourth order differential equation; oscillatory solution; fourth-order differential equation},

language = {eng},

number = {3},

pages = {385-396},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation},

url = {http://eudml.org/doc/249034},

volume = {127},

year = {2002},

}

TY - JOUR

AU - Bartušek, Miroslav

AU - Osička, Jan

TI - Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation

JO - Mathematica Bohemica

PY - 2002

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 127

IS - 3

SP - 385

EP - 396

AB - Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates $y^{[4]}+r(t)f(y)=0$ is studied.

LA - eng

KW - oscillatory solution; fourth order differential equation; oscillatory solution; fourth-order differential equation

UR - http://eudml.org/doc/249034

ER -

## References

top- Asymptotic Properties of Oscillatory Solutions of Differential Equations of $n$-th Order, FOLIA FSN Univ. Masarykiana Brunensis, Masaryk University, Brno, 1982. (1982) MR1271586
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- Asymptotic behaviour of oscillatory solutions of $n$-th order differential equations with quasiderivatives, Czechoslovak Math. J. 47 (1997), 245–259. (1997) MR1452419
- On unbounded oscillatory solutions of $n$-th order differential equations with quasiderivatives, Nonlin. Anal. 30 (1997), 1595–1605. (1997) MR1490082
- On oscillatory solutions of third order differential equation with quasiderivatives, (to appear). (to appear) MR1784252
- Limit-point type results for nonlinear fourth-order differential equations, Nonlin. Anal. 28 (1997), 779–792. (1997) MR1422183
- Asymptotic Properties of Solution of Nonautonomous Ordinary Differential Equations, Kluwer Acad. Press, Dordrecht, 1993. (1993) MR1220223

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