| Title:
|
Approximate methods for solving differential equations on infinite interval (English) |
| Author:
|
Regińska, Teresa |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
22 |
| Issue:
|
2 |
| Year:
|
1977 |
| Pages:
|
92-109 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Two approximate methods of solving a linear boundary value problem on an infinite interval are presented. The first one consists in approximating the solution by a sequence of solutions of boundary value problems on finite intervals. The second method is a modified collocation method. The existence of a solution and the convergence of the methods presented is proved. () |
| MSC:
|
65L10 |
| MSC:
|
65R20 |
| idZBL:
|
Zbl 0369.65021 |
| idMR:
|
MR0433900 |
| DOI:
|
10.21136/AM.1977.103681 |
| . |
| Date available:
|
2008-05-20T18:06:38Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103681 |
| . |
| Reference:
|
[1] N. Dunford J. Schwartz: Linear operators.part II. New York, 1963. MR 0188745 |
| Reference:
|
[2] Л. В. Канторович Г. П. Акилов: Функциональный анализ в нормированных пространствах.Москва, 1959. Zbl 1234.81002 |
| Reference:
|
[3] G. G. Lorentz: Approximation of functions.1966. Zbl 0996.41500 |
| Reference:
|
[4] С. Г. Михлин: Вариационные методы в математической физике.Москва, 1970. Zbl 1107.83313 |
| Reference:
|
[5] M. А. Наймарк: Линейные дифференциальные операторы.Москва 1969. Zbl 1149.62317 |
| Reference:
|
[6] И. П. Натансон: Конструктивная теория функций.1949. |
| Reference:
|
[7] G. W. Reddien: Projection methods and singular two-point boundary value problems.Numer. Math. 21, 1973. Zbl 0281.65048, MR 0378425 |
| Reference:
|
[8] R. D. Russell L. F. Shampine: A collocation method for boundary value problems.Numer. Math. 19, 1972. MR 0305607 |
| Reference:
|
[9] R. D. Russell L. F. Shampine: Numerical methods for singular boundary value problems.SIAM J. Numer. Anal. vol. 12 no. 1, 1975. MR 0400723 |
| Reference:
|
[10] Г. M. Baинникo: О сходимости и устойчивости метода коллокаций.Дифф. Уравнения I, но. 2, 1965. |
| . |
