| Title:
|
Radial solutions of a class of iterated partial differential equations (English) |
| Author:
|
Özalp, N. |
| Author:
|
Çetinkaya, A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
531-541 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type (English) |
| Keyword:
|
iterated equation |
| Keyword:
|
Almansi’s expansion |
| Keyword:
|
Kelvin principle |
| MSC:
|
35A08 |
| MSC:
|
35C05 |
| MSC:
|
35G99 |
| MSC:
|
35J99 |
| idZBL:
|
Zbl 1081.35006 |
| idMR:
|
MR2137160 |
| . |
| Date available:
|
2009-09-24T11:25:24Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128000 |
| . |
| Reference:
|
[1] E. Almansi: Sull’ integrazione dell differenziale $\Delta ^{2m}=0$.Ann. Mat. Ser. II, III (1899), 1–59. |
| Reference:
|
[2] A. Altın: Some expansion formulas for a class of singular partial differential equations.Proc. Am. Mat. Soc. 85 (1982), 42–46. MR 0647894, 10.1090/S0002-9939-1982-0647894-1 |
| Reference:
|
[3] A. Altın: Radial type solutions for a class of third order equations and their iterates.Math. Slovaca 49 (1999), 183–187. MR 1696946 |
| Reference:
|
[4] A. O. Çelebi: On the generalized Tricomi’s equation.Comm. Fac. Sci. Univ. Ankara Ser. A 17 (1968), 1–31. MR 0298256 |
| Reference:
|
[5] A. Weinstein: On a class of partial differential equations of even order.Ann. Mat. Pura Appl. 39 (1955), 245–254. Zbl 0065.33102, MR 0075411, 10.1007/BF02410772 |
| Reference:
|
[6] N. Özalp and A. Çetinkaya: Expansion formulas and Kelvin principle for a class of partial differential equations.Math. Balkanica (NS) 15 (2001), 219–226. MR 1891304 |
| Reference:
|
[7] N. Özalp: $r^{m}$-type solutions for a class of partial differential equations.Commun. Fac. Sci. Univ. Ank. Series A1 (2001), 95–100. MR 1842304 |
| . |
