| Title:
|
Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems (English) |
| Author:
|
Kamo, Ken-ichi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
209-217 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given. (English) |
| Keyword:
|
quasilinear differential equations |
| Keyword:
|
rapidly decaying solutions |
| Keyword:
|
asymptotic equivalence |
| MSC:
|
34C41 |
| MSC:
|
34D05 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 1118.34043 |
| idMR:
|
MR2068692 |
| . |
| Date available:
|
2008-06-06T22:43:34Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107902 |
| . |
| Reference:
|
[1] Cecchi M., Došlá Z., Marini M.: On the dynamics of the generalized Emden-Fowler equation.Georgian Math. J. 7 (2000), 269–282. Zbl 0961.34021, MR 1779551 |
| Reference:
|
[2] Elbert Á., Kusano T.: Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations.Acta Math. Hungar. 56 (1990), 325–336. MR 1111319 |
| Reference:
|
[3] Kamo K., Usami H.: Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations.Adv. Math. Sci. Appl. 10 (2000), 673–688. Zbl 0997.34038, MR 1807447 |
| Reference:
|
[4] Kamo K., Usami H.: Asymptotic forms of positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity.Hiroshima Math. J. 31 (2001), 35–49. Zbl 0997.34038, MR 1820693 |
| Reference:
|
[5] Kura T.: The weak supersolution-subsolution method for second order quasilinear elliptic equations.Hiroshima Math. J. 19 (1989), 1–36. Zbl 0735.35056, MR 1009660 |
| Reference:
|
[6] Mirzov J. D.: On some analogs of Strum’s and Kneser’s theorems for nonlinear systems.J. Math. Anal. Appl. 53 (1976), 418–425. MR 0402184 |
| Reference:
|
[7] Mizukami M., Naito M., Usami H.: Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations.Hiroshima Math. J. 32 (2002), 51–78. Zbl 1017.34053, MR 1892669 |
| Reference:
|
[8] Tanigawa T.: Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations.Adv. Math. Sci. Appl. 9 (1999), 907–938. Zbl 1025.34043, MR 1725693 |
| . |
