# Oscillation of a forced higher order equation

Annales Polonici Mathematici (1994)

- Volume: 60, Issue: 2, page 137-144
- ISSN: 0066-2216

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topWitold A. J. Kosmala. "Oscillation of a forced higher order equation." Annales Polonici Mathematici 60.2 (1994): 137-144. <http://eudml.org/doc/262443>.

@article{WitoldA1994,

abstract = {We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.},

author = {Witold A. J. Kosmala},

journal = {Annales Polonici Mathematici},

keywords = {oscillation; nonlinear higher order equation; nonlinear functional; asymptotic properties; forced nonlinear th order differential equation},

language = {eng},

number = {2},

pages = {137-144},

title = {Oscillation of a forced higher order equation},

url = {http://eudml.org/doc/262443},

volume = {60},

year = {1994},

}

TY - JOUR

AU - Witold A. J. Kosmala

TI - Oscillation of a forced higher order equation

JO - Annales Polonici Mathematici

PY - 1994

VL - 60

IS - 2

SP - 137

EP - 144

AB - We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.

LA - eng

KW - oscillation; nonlinear higher order equation; nonlinear functional; asymptotic properties; forced nonlinear th order differential equation

UR - http://eudml.org/doc/262443

ER -

## References

top- [1] L. Erbe, Oscillation, nonoscillation and asymptotic behaviour for third order nonlinear differential equations, Ann. Mat. Pura Appl. 110 (1976), 373-391. Zbl0345.34023
- [2] J. W. Heidel, Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526.
- [3] A. G. Kartsatos, The oscillation of a forced equation implies the oscillation of the unforced equation - small forcings, J. Math. Anal. Appl. 76 (1980), 98-106. Zbl0443.34032
- [4] A. G. Kartsatos and W. A. Kosmala, The behaviour of an nth-order equation with two middle terms, ibid. 88 (1982), 642-664. Zbl0513.34063
- [5] W. A. Kosmala, Properties of solutions of the higher order differential equations, Differential Equations Appl. 2 (1989), 29-34.
- [6] W. A. Kosmala, Behavior of bounded positive solutions of higher order differential equations, Hiroshima Math. J., to appear. Zbl0835.34037
- [7] W. A. Kosmala and W. C. Bauldry, On positive solutions of equations with two middle terms, Ann. Polon. Math. 50 (1990), 241-250. Zbl0701.34047
- [8] V. A. Staikos and Y. G. Sficas, Forced oscillations for differential equations of arbitrary order, J. Differential Equations 17 (1975), 1-11. Zbl0325.34082

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