Title:
|
A theorem about Carathéodory's superposition (English) |
Author:
|
Grande, Zbigniew |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
42 |
Issue:
|
4 |
Year:
|
1992 |
Pages:
|
443-449 |
. |
Category:
|
math |
. |
MSC:
|
26B40 |
MSC:
|
34A12 |
MSC:
|
34A99 |
MSC:
|
34G20 |
idZBL:
|
Zbl 0766.34036 |
idMR:
|
MR1195038 |
. |
Date available:
|
2009-09-25T10:42:02Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129437 |
. |
Reference:
|
[1] BRUCKNER A. M.: Differentiation of Real Functions.Lecture Notes Math. 659, Springer-Verlag, Berlin-Heidelberg-New York, 1978. Zbl 0382.26002, MR 0507448 |
Reference:
|
[2] DE BLASI F. S., MYJAK J.: On the solutions sets for differential inclusions.Bull. Polish Acad. Sci. Math. 33 (1985), 17-24. Zbl 0571.34008, MR 0798723 |
Reference:
|
[3] FILIPPOV A. F.: Differential Equations with Discontinuous Right-hand Side.(Russian), Nauka, Moscow, 1985. Zbl 0571.34001, MR 0790682 |
Reference:
|
[4] GRANDE Z.: Sur un théorème de Nikodym.Demonstrate Math. 14 (1981), 459-469. Zbl 0474.28005, MR 0632301 |
Reference:
|
[5] GRANDE Z.: Quelques remarques sur les fonctions presque continues.Probl. Mat. 10 (1988), 63-70. |
Reference:
|
[6] GRANDE Z., RZEPKA D.: Sur le produit de deux dérivées.Real Anal. Exchange 6 (1980-81), 95-110. MR 0606544 |
Reference:
|
[7] HARTMAN, PH.: Ordinary Differential Equations.J. Wiley, New York-Sydney, 1954. MR 0171038 |
Reference:
|
[8] HILLE E.: Functional Analysis and Semi-groups.Amer. Math. Soc., New York, 1948. Zbl 0033.06501, MR 0025077 |
Reference:
|
[9] KOLODZIEJ W.: Mathematical Analysis.(Polish), PWN, Warszawa, 1979. |
Reference:
|
[10] PIANIGIANI G.: Existence of solutions for ordinary differential equations in Banach spaces.Bull. Polish Acad. Sci. Mat., Astron., Phys. 23 (1975), 853-857. Zbl 0317.34050, MR 0393710 |
Reference:
|
[11] SZRAGIN W.: The conditions for the measurability of the superposition.(Russian), Dokl. Akad. Nauk SSSR 197 (1971), 295-298. MR 0277680 |
Reference:
|
[12] ZAHORSKI Z.: Sur la première dérivée.Trans. Amer. Math. Soc. 69 (1950), 1-54. Zbl 0038.20602, MR 0037338 |
. |