Geodesic
Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
Mathematica Bohemica, Tome 132 (2007) no. 2, pp. 205-218

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).
We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).
DOI : 10.21136/MB.2007.134190
Classification : 26A42, 34A12, 34A30, 34A37, 34F05, 45A05
Keywords: generalized linear ordinary differential equations; fundamental matrix; continuous dependence on a parameter; emphatic convergence 
Halas, Zdeněk. Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter. Mathematica Bohemica, Tome 132 (2007) no. 2, pp. 205-218. doi: 10.21136/MB.2007.134190
@article{10_21136_MB_2007_134190,
     author = {Halas, Zden\v{e}k},
     title = {Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter},
     journal = {Mathematica Bohemica},
     pages = {205--218},
     year = {2007},
     volume = {132},
     number = {2},
     doi = {10.21136/MB.2007.134190},
     mrnumber = {2338806},
     zbl = {1174.34303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134190/}
}
TY  - JOUR
AU  - Halas, Zdeněk
TI  - Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
JO  - Mathematica Bohemica
PY  - 2007
SP  - 205
EP  - 218
VL  - 132
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134190/
DO  - 10.21136/MB.2007.134190
LA  - en
ID  - 10_21136_MB_2007_134190
ER  - 
%0 Journal Article
%A Halas, Zdeněk
%T Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
%J Mathematica Bohemica
%D 2007
%P 205-218
%V 132
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134190/
%R 10.21136/MB.2007.134190
%G en
%F 10_21136_MB_2007_134190

[1] M. Ashordia: On the correctness of linear boundary value problems for systems of generalized ordinary differential equations. Proceedings of the Georgian Academy of Sciences Math. 1 (1993), 385–394. | MR | Zbl

[2] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter. Czechoslovak Math. J. 7 (1957), 418–449. | MR | Zbl

[3] J. Kurzweil: Generalized ordinary differential equations. Czechoslovak Math. J. 8 (1958), 360–388. | MR | Zbl

[4] Š. Schwabik: Generalized Ordinary Differential Equations. World Scientific, Singapore, 1992. | MR | Zbl

[5] Š. Schwabik, M. Tvrdý, O. Vejvoda: Differential and Integral Equations: Boundary Value Problems and Adjoints. Academia and D. Reidel, Praha and Dordrecht, 1979. | MR

[6] Š. Schwabik, M. Tvrdý: Boundary value problems for generalized linear differential equations. Czechoslovak Math. J. 29 (1979), 451–477. | MR

[7] M. Tvrdý: Differential and Integral Equations in the Space of Regulated Functions. vol. 25, Memoirs on Differential Equations and Mathematical Physics, 2002, pp. 1–104. | MR | Zbl

[8] M. Tvrdý: Stieltjes Integral. Lecture notes. [online] Available on http://www.math.cas.cz/tvrdy/teaching.html [cited 16.3.2006]. (Czech)

Cité par Sources :