Regulated functions and the Perron-Stieltjes integral
Časopis pro pěstování matematiky (1989)
- Volume: 114, Issue: 2, page 187-209
- ISSN: 0528-2195
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topTvrdý, Milan. "Regulated functions and the Perron-Stieltjes integral." Časopis pro pěstování matematiky 114.2 (1989): 187-209. <http://eudml.org/doc/19543>.
@article{Tvrdý1989,
author = {Tvrdý, Milan},
journal = {Časopis pro pěstování matematiky},
keywords = {Banach space of regulated functions; Dushnik-Stieltjes integral; Perron-Stieltjes integral; Kurzweil's theory; integration by parts theorem; substitution theorem; generalized differential equations; Volterra-Stieltjes integral equations},
language = {eng},
number = {2},
pages = {187-209},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Regulated functions and the Perron-Stieltjes integral},
url = {http://eudml.org/doc/19543},
volume = {114},
year = {1989},
}
TY - JOUR
AU - Tvrdý, Milan
TI - Regulated functions and the Perron-Stieltjes integral
JO - Časopis pro pěstování matematiky
PY - 1989
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 114
IS - 2
SP - 187
EP - 209
LA - eng
KW - Banach space of regulated functions; Dushnik-Stieltjes integral; Perron-Stieltjes integral; Kurzweil's theory; integration by parts theorem; substitution theorem; generalized differential equations; Volterra-Stieltjes integral equations
UR - http://eudml.org/doc/19543
ER -
References
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- Š. Schwabik, On the relation between Young's and Kurzweil's concept of Stieltjes integral, Časopis pěst. mat. 98 (1973), 237-251. (1973) Zbl0266.26006MR0322113
- Š. Schwabik, On modified sum integral of Stieltjes type, Časopis pěst. mat. 98 (1973), 274-277. (1973) MR0322114
- Š. Schwabik M. Tvrdý, O. Vejvoda, Differential and Integral Equations: Boundary Value Problems and Adjoints, Academia, Praha and D. Reidel, Dordrecht, 1979. (1979) MR0542283
- A. J. Ward, The Perron-Stieltjes integral, Math. Zeitschr. 41 (1936), 578-604. (1936) Zbl0014.39702MR1545641
Citations in EuDML Documents
top- Štefan Schwabik, Linear operators in the space of regulated functions
- Pavel Krejčí, Matthias Liero, Rate independent Kurzweil processes
- Pavel Krejčí, Jaroslav Kurzweil, A nonexistence result for the Kurzweil integral
- Pavel Krejčí, Harbir Lamba, Giselle Antunes Monteiro, Dmitrii Rachinskii, The Kurzweil integral in financial market modeling
- Pavel Krejčí, The Kurzweil integral with exclusion of negligible sets
- Martin Pelant, Milan Tvrdý, Linear distributional differential equations in the space of regulated functions
- Milan Tvrdý, Linear distributional differential equations of the second order
- Milan Tvrdý, Generalized differential equations in the space of regulated functions (boundary value problems and controllability)
- Giselle A. Monteiro, Milan Tvrdý, On Kurzweil-Stieltjes integral in a Banach space
- Milan Tvrdý, Linear integral equations in the space of regulated functions
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