Oscillation of a forced nonlinear second order differential equation

Jones, Gary D. ; Rankin, Samuel M.

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 59 (1975), p. 702-705 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

Gli Autori considerano l'equazione y′′+p⁢(t)⁢g⁢(y)=f⁢(t) con $p(t)$, $f(t)$ continue in $[0, \infty)$, $p(t) = 0$, $g(t)$ continue in $(-\infty,\infty)$ e sotto opportune condizioni per $p(t)$, $g(y)$, $f(t)$ provano che tutte le soluzioni della (1) sono oscillanti.

Détail

Publié le : 1975-12-01

MR 0481264 | Zbl 0399.34029

Bibliographie

[1] Atkinson, F. V. (1972/73) - On second order differential inequalities, «Proc. R.S.E.(A)», 72 (8), 109-127. | MR 402175

[2] Kartsatos, A. G. (1971) - On the maintenance of oscillations of nth order equations under the effect of a small forcing term, «Journal of Differential Equations», 10, 355-363. | MR 288358 | Zbl 0211.11902

[3] Kartsatos, A. G. (1972) - Maintenance of oscillations under the effect of a periodic forcing term, «Proc. Am. Math. Soc.», 33, 377-383. | MR 330622 | Zbl 0234.34040

[4] Kartsatos, A. G. and Manougian, M. N. (1974) - Perturbations causing oscillations of functional-differential equations, «Proc. Am. Math. Soc.», 43, 111-117. | MR 328270 | Zbl 0291.34051

[5] Rankin, S. M. (1975) - Oscillation of a forced second order non-linear differential equation. «Proc. Am. Math. Soc.», 38, July, 1976. | MR 414997

[6] H. Jr. TEUFEL (1972) - Forced second-order non-linear oscillations, «J. Math Anal. Applic.», 40, 148-152. | MR 313583 | Zbl 0237.34060