| Title:
|
Regulated functions and the Perron-Stieltjes integral (English) |
| Title:
|
Regulované funkce a Peron-Stieltjesův integrál (Czech) |
| Author:
|
Tvrdý, Milan |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
114 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
187-209 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A39 |
| idZBL:
|
Zbl 0671.26006 |
| idMR:
|
MR1063765 |
| DOI:
|
10.21136/CPM.1989.108713 |
| . |
| Date available:
|
2009-09-23T09:52:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108713 |
| . |
| Reference:
|
[1] G. Aumann: Reelle Funktionen.Springer-Verlag, Berlin-Heidelberg-New York, 1969. Zbl 0181.05801, MR 0061652 |
| Reference:
|
[2] D. Fraňková: Regulated functions.to appear. MR 1100424 |
| Reference:
|
[3] D. Fraňková: Continuous dependence on a parameter of solutions of generalized differential equations.to appear. MR 1016632 |
| Reference:
|
[4] T. H. Hildebrandt: Introduction to the Theory of Integration.Academic Press, New York-London, 1963. Zbl 0112.28302, MR 0154957 |
| Reference:
|
[5] Ch. S. Hönig: Volterra Stieltjes-Integral Equations.Mathematics Studies 16, North-Holland, Amsterdam, 1975. MR 0499969 |
| Reference:
|
[6] Ch. S. Hönig: Volterra Stieltjes-Integral Equations, Functional Differential Equations and Bifurcation.Proceedings of the Sao Carlos Conference 1979, Springer Lecture Notes in Mathematics 799, 173-216. MR 0585488 |
| Reference:
|
[7] H. S. Kaltenborn: Linear functional operations on functions having discontinuities of the first kind.Bulletin A.M.S. 40 (1934), 702-708. Zbl 0010.16905, MR 1562957 |
| Reference:
|
[8] I. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czechoslovak Math. J. 7 (82) (1957), 418-449. Zbl 0090.30002, MR 0111875 |
| Reference:
|
[9] I. Kurzweil: Nichtabsolut konvergente Integrate.BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1980. |
| Reference:
|
[10] S. Saks: Theory of the Integral.Monografie Matematyczne, Warszawa-Lwow, 1937. Zbl 0017.30004 |
| Reference:
|
[11] Š. Schwabik: Generalized Differential Equations.(Fundamental results), Rozpravy Československé akademie věd, řada matematických a přírodních věd, 95 (6), Academia, Praha, 1985. Zbl 0594.34002, MR 0823224 |
| Reference:
|
[12] Š. Schwabik: On the relation between Young's and Kurzweil's concept of Stieltjes integral.Časopis pěst. mat. 98 (1973), 237-251. Zbl 0266.26006, MR 0322113 |
| Reference:
|
[13] Š. Schwabik: On modified sum integral of Stieltjes type.Časopis pěst. mat. 98 (1973), 274-277. MR 0322114 |
| Reference:
|
[14] Š. Schwabik M. Tvrdý, O. Vejvoda: Differential and Integral Equations: Boundary Value Problems and Adjoints.Academia, Praha and D. Reidel, Dordrecht, 1979. MR 0542283 |
| Reference:
|
[15] A. J. Ward: The Perron-Stieltjes integral.Math. Zeitschr. 41 (1936), 578-604. Zbl 0014.39702, MR 1545641 |
| . |
