On the asymptotic behavior of solutions of nonlinear ordinary differential equations
Kusano, Takaŝi ; Naito, Manabu ; Swanson, Charles A.
Czechoslovak Mathematical Journal, Tome 38 (1988), p. 498-519 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1988-01-01
Classification:  34A34,  34E05 
@article{102247,
     author = {Taka\^si Kusano and Manabu Naito and Charles A. Swanson},
     title = {On the asymptotic behavior of solutions of nonlinear ordinary differential equations},
     journal = {Czechoslovak Mathematical Journal},
     volume = {38},
     year = {1988},
     pages = {498-519},
     zbl = {0698.34049},
     mrnumber = {950305},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102247}
}

Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. On the asymptotic behavior of solutions of nonlinear ordinary differential equations. Czechoslovak Mathematical Journal, Tome 38 (1988) pp. 498-519. http://gdmltest.u-ga.fr/item/102247/

I. T. Kiguradze On the oscillation of solutions of the equation $d\sp{m}u/dt\sp{m}+a(t)\vert u\vert \sp{n}\,{\rm sign} u=0$, Mat. Sb. (N. S.) 65 (1964), 172-187. (Russian) (1964) | MR 0173060

I. T. Kiguradze The problem of oscillation of solutions of nonlinear differential equations, Differenciaľnye Uravnenija 1 (1965), 995-1006. (Russian) (1965) | MR 0194689 | Zbl 0155.41802

T. Kusano; M. Naito On unbounded nonoscillatory solutions of second order nonlinear ordinary differential equations, submitted for publication.

T. Kusano M. Naito; С. A. Swanson Entire solutions of a class of even order quasilinear elliptic equations, submitted for publication.

T. Kusano M. Naito; H. Usami Asymptotic behavior of solutions of a class of second order nonlinear differential equations, Hiroshima Math. J. 16 (1986), 149-159. (1986) | MR 0837319

T. Kusano; W. F. Trench Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behavior, J. London Math. Soc. (2) 31 (1985), 478-486. (1985) | Article | MR 0812777

I. Ličko; M. Švec Le caractère oscillatoire des solutions de l'équation $y\sp{(n)}+f(x)y\sp{\alpha }=0,\,n>1$, Czechoslovak Math. J. 13 (88) (1963), 481-491. (1963) | MR 0161001 | Zbl 0123.28202

G. H. Ryder; D. V. V. Wend Oscillation of solutions of certain ordinary differential equations of $n$h order, Proc. Amer. Math. Soc. 25 (1970), 463 - 469. (1970) | MR 0261091

M. Švec L'existence globale et les propriétés asymptotiques des solutions d'une équation différentielle nonlinéaire d'ordre $n$, Arch. Math. (Brno) 2 (1966), 141-151. (1966) | MR 0216059

M. Švec Les propriétés asymptotiques des solutions d'une équation différentielle nonlinéaire d'ordre $n$, Czechoslovak Math. J. 17 (92) (1967), 550-557. (1967) | MR 0218677 | Zbl 0262.35006

W. F. Trench Asymptotic behavior of solutions of $Lu=g(t,\,u,\cdots,u\sp{(k-1)})$, J. Differential Equations 11 (1972), 38-48. (1972) | MR 0293195