Geodesic
Regulated functions and the Perron-Stieltjes integral
Časopis pro pěstování matematiky, Tome 114 (1989) no. 2, pp. 187-209
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DOI : 10.21136/CPM.1989.108713
Classification : 26A39 
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Tvrdý, Milan. Regulated functions and the Perron-Stieltjes integral. Časopis pro pěstování matematiky, Tome 114 (1989) no. 2, pp. 187-209. doi: 10.21136/CPM.1989.108713

[1] G. Aumann: Reelle Funktionen. Springer-Verlag, Berlin-Heidelberg-New York, 1969. | MR | Zbl

[2] D. Fraňková: Regulated functions. to appear. | MR

[3] D. Fraňková: Continuous dependence on a parameter of solutions of generalized differential equations. to appear. | MR

[4] T. H. Hildebrandt: Introduction to the Theory of Integration. Academic Press, New York-London, 1963. | MR | Zbl

[5] Ch. S. Hönig: Volterra Stieltjes-Integral Equations. Mathematics Studies 16, North-Holland, Amsterdam, 1975. | MR

[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

[7] H. S. Kaltenborn: Linear functional operations on functions having discontinuities of the first kind. Bulletin A.M.S. 40 (1934), 702-708. | MR | Zbl

[8] I. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter. Czechoslovak Math. J. 7 (82) (1957), 418-449. | MR | Zbl

[9] I. Kurzweil: Nichtabsolut konvergente Integrate. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1980.

[10] S. Saks: Theory of the Integral. Monografie Matematyczne, Warszawa-Lwow, 1937. | Zbl

[11] Š. Schwabik: Generalized Differential Equations. (Fundamental results), Rozpravy Československé akademie věd, řada matematických a přírodních věd, 95 (6), Academia, Praha, 1985. | MR | Zbl

[12] Š. Schwabik: On the relation between Young's and Kurzweil's concept of Stieltjes integral. Časopis pěst. mat. 98 (1973), 237-251. | MR | Zbl

[13] Š. Schwabik: On modified sum integral of Stieltjes type. Časopis pěst. mat. 98 (1973), 274-277. | MR

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

[15] A. J. Ward: The Perron-Stieltjes integral. Math. Zeitschr. 41 (1936), 578-604. | MR | Zbl

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