| Title:
|
Explicit solutions for boundary value problems related to the operator equations $X^{(2)}-AX=0$ (English) |
| Author:
|
Jódar, Lucas |
| Author:
|
Navarro, Enrique |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
6 |
| Year:
|
1991 |
| Pages:
|
409-416 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation $X^{(2)}-AX=0$ are studied for the general case, even when the algebraic equation $X^2-A=0$ is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available. (English) |
| Keyword:
|
Sturm-Liouville |
| Keyword:
|
operator differential equation |
| Keyword:
|
operator algebraic equation |
| Keyword:
|
Cauchy problems |
| Keyword:
|
boundary value problems |
| MSC:
|
34A05 |
| MSC:
|
34B05 |
| MSC:
|
34B10 |
| MSC:
|
34G10 |
| MSC:
|
47A60 |
| MSC:
|
47A62 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0748.34013 |
| idMR:
|
MR1134918 |
| DOI:
|
10.21136/AM.1991.104478 |
| . |
| Date available:
|
2008-05-20T18:42:28Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104478 |
| . |
| Reference:
|
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| . |
