| Title:
|
On a multipoint boundary value problem for linear ordinary differential equations with singularities (English) |
| Author:
|
Tskhovrebadze, G. D. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
171-206 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A criterion for the unique solvability of and sufficient conditions for the correctness of the modified Vallèe-Poussin problem are established for the linear ordinary differential equations with singularities. (English) |
| Keyword:
|
linear ordinary differential equation with singularities |
| Keyword:
|
modified Vallèe-Poussin problem |
| Keyword:
|
unique solvability |
| Keyword:
|
correctness |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| idZBL:
|
Zbl 0815.34013 |
| idMR:
|
MR1308353 |
| . |
| Date available:
|
2008-06-06T21:26:25Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107506 |
| . |
| Reference:
|
[1] de la Vallèe Poussin, Ch. J.: Sur l’equation differentielle lineaire du second ordre..Determination d’une integrale par deux valeurs assignees. Extension aux equation d’ordre $n$. J. Math. pures et appl. (1929) 8, No. 2, 125-144. |
| Reference:
|
[2] Kiguradze, I. T.: On a singular multi-point boundary value problem.Ann. Math. pura ed appl. 86 (1970), 367-400. Zbl 0251.34012, MR 0271449 |
| Reference:
|
[3] Kiguradze, I. T.: Some singular boundary value problems for ordinary differential equations.Tbilisi: Izd-vo Tbilisskogo Univ. (1975), 352. (in Russian) MR 0499402 |
| Reference:
|
[4] Kiguradze, I. T.: The boundary value problems for systems of ordinary differential equations.(Itogi nauki i tekhniki. VINITI AN SSSR), Sovremennie problemi matematiki. Noveishie dostijenia T. 30 (1987), 3-103. (in Russian) MR 0925829 |
| Reference:
|
[5] Pokorni, U. V.: On some estimates of Green’s functions for multipoint boundary value problem.Mat. zametki 4 No. 5 (1968), 533-540. (in Russian) |
| Reference:
|
[6] Tskhovrebadze, G. D.: On a singular boundary value problem of the Vallèe Poussin’s type.Trudy Inst. Prikl. Math. Tbilisskogo Univ. 31 (1988), 179-194. (in Russian) MR 1001347 |
| Reference:
|
[7] Bates, P. W., Gustafson, G. B.: Green’s function inequalities for two point boundary value problem.Pacif. J. Math. 59, No. 2 (1975), 327-343. MR 0437841 |
| . |
