Vanishing Oscillations of Solutions of a Class of Differential Systems with Retarded Argument

Kitamura, Yuichi; Kusano, Takaŝi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 62 (1977), p. 325-334 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

Si dànno condizioni sufficienti perché tutte le traiettorie oscillatorie del sistema differenziale $x^{\prime}(t)=p(t)y(t)$ , $y^{\prime}(t)=f(t,x(g(t)))$ tendano a zero quando $t\to\infty$ .

Publié le : 1977-03-01

MR 0497655

@article{RLINA_1977_8_62_3_325_0,
     author = {Yuichi Kitamura and Taka\^si Kusano},
     title = {Vanishing Oscillations of Solutions of a Class of Differential Systems with Retarded Argument},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
     volume = {62},
     year = {1977},
     pages = {325-334},
     mrnumber = {0497655},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLINA_1977_8_62_3_325_0}
}

Kitamura, Yuichi; Kusano, Takaŝi. Vanishing Oscillations of Solutions of a Class of Differential Systems with Retarded Argument. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 62 (1977) pp. 325-334. http://gdmltest.u-ga.fr/item/RLINA_1977_8_62_3_325_0/

Bibliographie

[1] Kitamura, Y. and Kusano, T. - On the oscillation of a class of nonlinear differential systems with deviating argument. «J. Math. Anal. Appl.» (to appear). | MR 513483 | Zbl 0417.34107

[2] Kusano, T. and Onose, H. - Asymptotic decay of oscillatory solutions of second order differential equations with forcing term, «Proc. Amer. Math. Soc.» (to appear). | MR 457901 | Zbl 0367.34021

[3] Singh, B. (1976) - Asymptotically vanishing oscillatory trajectories in second order retarded equations, «SIAM J. Math. Anal.», 7, 37-44. | MR 425308 | Zbl 0321.34058

[4] Vareh, N. V., Gritsai, A. G. and Ševelo, V. N. (1975) — On the oscillation of solutions of certain systems of differential equations with retarded argument, Metody Količestvennogo i Kačestvennogo Issledovaniya Differencial'nyh i Integral'nyh Uravnenii, pp. 20-38, Kiev (Russian).