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.
@article{bwmeta1.element.bwnjournal-article-apmv60z2p137bwm,
author = {Witold A. J. Kosmala},
title = {Oscillation of a forced higher order equation},
journal = {Annales Polonici Mathematici},
volume = {60},
year = {1994},
pages = {137-144},
zbl = {0817.34021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv60z2p137bwm}
}
Witold A. J. Kosmala. Oscillation of a forced higher order equation. Annales Polonici Mathematici, Tome 60 (1994) pp. 137-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv60z2p137bwm/
[000] [1] L. Erbe, Oscillation, nonoscillation and asymptotic behaviour for third order nonlinear differential equations, Ann. Mat. Pura Appl. 110 (1976), 373-391. | Zbl 0345.34023
[001] [2] J. W. Heidel, Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526.
[002] [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. | Zbl 0443.34032
[003] [4] A. G. Kartsatos and W. A. Kosmala, The behaviour of an nth-order equation with two middle terms, ibid. 88 (1982), 642-664. | Zbl 0513.34063
[004] [5] W. A. Kosmala, Properties of solutions of the higher order differential equations, Differential Equations Appl. 2 (1989), 29-34.
[005] [6] W. A. Kosmala, Behavior of bounded positive solutions of higher order differential equations, Hiroshima Math. J., to appear. | Zbl 0835.34037
[006] [7] W. A. Kosmala and W. C. Bauldry, On positive solutions of equations with two middle terms, Ann. Polon. Math. 50 (1990), 241-250. | Zbl 0701.34047
[007] [8] V. A. Staikos and Y. G. Sficas, Forced oscillations for differential equations of arbitrary order, J. Differential Equations 17 (1975), 1-11. | Zbl 0325.34082