A Note on Second Order Nonlinear Oscillations
Noussair, E. S.
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 59 (1975), p. 45-50 / Harvested from Biblioteca Digitale Italiana di Matematica

L'Autore estendendo alcuni risultati relativi alle equazioni u′′+f(t,u)=0 trova condizioni sufficienti atte ad assicurare il carattere oscillatorio degli integrali dell'equazione u′′+f(t,u,u)=0

Publié le : 1975-07-01
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     author = {E. S. Noussair},
     title = {A Note on Second Order Nonlinear Oscillations},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
     volume = {59},
     year = {1975},
     pages = {45-50},
     zbl = {0351.34021},
     mrnumber = {0447707},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLINA_1975_8_59_1-2_45_0}
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Noussair, E. S. A Note on Second Order Nonlinear Oscillations. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 59 (1975) pp. 45-50. http://gdmltest.u-ga.fr/item/RLINA_1975_8_59_1-2_45_0/

[1] Atkinson, F. V. (1955) - On second order non-linear oscillations, «Pacific J. Math.», 5, 643-647. | MR 72316 | Zbl 0065.32001

[2] Bobisud, L. E. (1969) - Oscillation of solutions of non-linear equations, «Proc. Amer. Math. Soc.», 23, 501-505. | MR 247179 | Zbl 0186.41903

[3] Jahagirdar, R. P. and Lalli, B. S. (1975) - Oscillatory properties of certain second order non-linear differential equations, «Annali di Matematica Pura ed Applicata», 101 (4), 375-381. | MR 367365 | Zbl 0309.34022

[4] Jones, J. Jr. (1956) - On the expansion of a theorem of Atkinson, «Quart. J. Math.», 7, 306-309. | MR 96868

[5] Legatos, G. G. and Kartsatos, A. G. (1968) - Further results on the oscillation of solutions of second order equations, «Math. Japon», 14, 67-73. | MR 255910 | Zbl 0212.43101

[6] Macki, J. W. and Wong, J. S. (1968) - Oscillation of solutions to second order non-linear differential equations, «Pacific J. Math.», 24, 111-117. | MR 224908 | Zbl 0165.42402

[7] Moore, R. A. (1955) - The behaviour of solutions of a linear differential equation of second order, «Pacific J. Math.», 5, 125-145. | MR 68690 | Zbl 0064.08401

[8] Noussair, E. S. and Swanson, C. A. - Oscillation theory for semilinear Schrödinger equations and inequalities, Proc. Roy. Soc. Edinburgh Sect. A (submitted). | MR 442436

[9] Onose, H. (1970) - Oscillation Theorems for non-linear second order differential equations, «Proc. Amer. Math. Soc.», 26, 461-464. | MR 264165 | Zbl 0231.34031

[10] Waltman, P. (1963) - Oscillations of solutions of non-linear equation, «SIAM Rev.», 5, 128-130. | MR 152706 | Zbl 0137.28402

[11] Wong, J. S., On second order non-linear oscillation, «Funkcial. Ekav.», 11, 207-234, MR39, no. 722. | MR 245915