| Title:
|
Convergence of cubature-differences method for multidimensional singular integro-differential equations (English) |
| Author:
|
Fedotov, A. I. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
181-191 |
| . |
| Category:
|
math |
| . |
| MSC:
|
45E05 |
| MSC:
|
45L05 |
| MSC:
|
65R20 |
| idZBL:
|
Zbl 1122.45001 |
| idMR:
|
MR2068689 |
| . |
| Date available:
|
2008-06-06T22:43:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107899 |
| . |
| Reference:
|
[1] Fedotov A. I.: On convergence of quadrature-differences method for linear singular integrodifferential equations.Zh. Vychisl. Mat. Mat. Fiz. 29 (1989), No. 9, 1301–1307 (in Russian). MR 1018581 |
| Reference:
|
[2] Fedotov A. I.: On convergence of quadrature-differences method for one class of singular integro-differential equations.Izv. Vyssh. Uchebn. Zaved. Mat. (1989), No. 8, 64–68 (in Russian). MR 1039732 |
| Reference:
|
[3] Fedotov A. I.: On convergence of quadrature-differences method for linear singular integrodifferential equations with discontinuous coefficients.Zh. Vychisl. Mat. Mat. Fiz. 31 (1991), No. 2, 261–271 (in Russian). MR 1099589 |
| Reference:
|
[4] Fedotov A. I.: On convergence of quadrature-differences method for nonlinear singular integrodifferential equations.Zh. Vychisl. Mat. Mat. Fiz. 31 (1991), No. 5, 781–787 (in Russian). MR 1120019 |
| Reference:
|
[5] Fedotov A. I.: On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.Arch. Math. (Brno) 38 (2002), No. 1, 1–13. Zbl 1087.65109, MR 1899563 |
| Reference:
|
[6] Gabdulkhaev B. G.: On one direct method for solving integral equations.Izv. Vyssh. Uchebn. Zaved. Mat. (1965), No. 3, 51–60 (in Russian). MR 0191120 |
| Reference:
|
[7] Gakhov F. D.: Boundary Value Problems.Pergamon Press, Oxford, England 1966. Zbl 0141.08001, MR 0198152 |
| Reference:
|
[8] John F.: Partial differential equations.4th ed., Springer-Verlag, New York 1981. Zbl 0497.35062 |
| Reference:
|
[9] Muskhelishvili N. I.: Singular integral equations.Noordhoff, Groningen, Holland 1953. Zbl 0051.33203, MR 0355494 |
| Reference:
|
[10] Taylor M. E.: Pseudodifferential operators.Princeton University Press, Princeton 1981. Zbl 0453.47026, MR 0618463 |
| Reference:
|
[11] Vainikko G. M.: The compact approximation of the operators and the approximate solution of the equations.Tartu University Press, Tartu 1970 (in Russian). MR 0273475 |
| Reference:
|
[12] Vainikko G. M., Tamme E. E.: Convergence of the differences method in a problem of periodic solutions of elliptical type equations, coefficients.Zh. Vychisl. Mat. Mat. Fiz. 16 (1976), No. 3, 261–271 (in Russian). MR 0416061 |
| . |
