| Title:
|
Continuous dependence of inverse fundamental matrices of generalized linear ordinary differential equations on a parameter (English) |
| Author:
|
Halas, Zdeněk |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
39-48 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem of continuous dependence for inverses of fundamental matrices in the case when uniform convergence is violated is presented here. (English) |
| Keyword:
|
generalized linear ordinary differential equations |
| Keyword:
|
fundamental matrix |
| Keyword:
|
adjoint equation |
| Keyword:
|
continuous dependence on a parameter |
| Keyword:
|
emphatic convergence |
| MSC:
|
26A39 |
| MSC:
|
26A42 |
| MSC:
|
34A30 |
| MSC:
|
34A37 |
| MSC:
|
34F05 |
| MSC:
|
45A05 |
| idZBL:
|
Zbl 1092.34003 |
| idMR:
|
MR2218566 |
| . |
| Date available:
|
2009-08-21T06:49:19Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133383 |
| . |
| Reference:
|
[A] Ashordia M.: On the correctness of linear boundary value problems for systems of generalized ordinary differential equations.Proceedings of the Georgian Academy of Sciences, Math. 1, 4 (1993), 385–394. Zbl 0797.34015, MR 1262572 |
| Reference:
|
[K1] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter.Czech. Math. J. 7 (82) (1957), 418–449. Zbl 0090.30002, MR 0111875 |
| Reference:
|
[K2] Kurzweil J.: Generalized ordinary differential equations.Czech. Math. J. 24 (83) (1958), 360–387. Zbl 0102.07003, MR 0111878 |
| Reference:
|
[S] Schwabik Š.: Generalized Ordinary Differential Equations. : World Scientific, Singapore., 1992. MR 1200241 |
| Reference:
|
[STV] Schwabik Š., Tvrdý M., Vejvoda O.: Differential, Integral Equations: Boundary Value Problems, Adjoints. : Academia and D. Reidel, Praha and Dordrecht., 1979. MR 0542283 |
| Reference:
|
[ST] Schwabik Š., Tvrdý M.: Boundary value problems for generalized linear differential equations.Czech. Math. J. 29 (104) (1979), 451–477. MR 0536070 |
| Reference:
|
[T1] Tvrdý M.: Differential and integral equations in the space of regulated functions.In: Memoirs on Differential Equations and Mathematical Physics, vol. 25, 2002, 1–104. Zbl 1081.34504, MR 1903190 |
| Reference:
|
[T2] Tvrdý M.: Stieltjesův integrál.Učební text [online, cited 22. 6. 2005], http://www.math.cas.cz/~tvrdy/teaching.html. |
| . |
