| Title:
|
On the asymptotic behavior of solutions of nonlinear ordinary differential equations (English) |
| Author:
|
Kusano, Takaŝi |
| Author:
|
Naito, Manabu |
| Author:
|
Swanson, Charles A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
1988 |
| Pages:
|
498-519 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34E05 |
| idZBL:
|
Zbl 0698.34049 |
| idMR:
|
MR950305 |
| DOI:
|
10.21136/CMJ.1988.102247 |
| . |
| Date available:
|
2008-06-09T15:22:56Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102247 |
| . |
| Reference:
|
[1] 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) MR 0173060 |
| Reference:
|
[2] I. T. Kiguradze: The problem of oscillation of solutions of nonlinear differential equations.Differenciaľnye Uravnenija 1 (1965), 995-1006. (Russian) Zbl 0155.41802, MR 0194689 |
| Reference:
|
[3] T. Kusano, M. Naito: On unbounded nonoscillatory solutions of second order nonlinear ordinary differential equations.submitted for publication. |
| Reference:
|
[4] T. Kusano M. Naito, С. A. Swanson: Entire solutions of a class of even order quasilinear elliptic equations.submitted for publication. |
| Reference:
|
[5] 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. MR 0837319, 10.32917/hmj/1206130544 |
| Reference:
|
[6] 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. MR 0812777, 10.1112/jlms/s2-31.3.478 |
| Reference:
|
[7] 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. Zbl 0123.28202, MR 0161001 |
| Reference:
|
[8] 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. MR 0261091 |
| Reference:
|
[9] 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. MR 0216059 |
| Reference:
|
[10] M. Švec: Les propriétés asymptotiques des solutions d'une équation différentielle nonlinéaire d'ordre $n$.Czechoslovak Math. J. 17 (92) (1967), 550-557. Zbl 0262.35006, MR 0218677 |
| Reference:
|
[11] W. F. Trench: Asymptotic behavior of solutions of $Lu=g(t,\,u,\cdots,u\sp{(k-1)})$.J. Differential Equations 11 (1972), 38-48. MR 0293195 |
| . |
