Czechoslovak Mathematical Journal, Vol. 75, No. 1, pp. 5-11, 2025


In memory of Jaroslav Kurzweil

Milan Tvrdý

Received July 22, 2024.   Published online December 19, 2024.



References:
[1] A. Fonda: The Kurzweil-Henstock Integral for Undergraduates. A Promenade Along the Marvelous Theory of Integration. Compact Textbooks in Mathematics. Birkhäuser, Cham (2018). DOI 10.1007/978-3-319-95321-2 | MR 3839629 | Zbl 1410.26007
[2] R. Henstock: The efficiency of convergence factors for functions of a continuous real variable. J. Lond. Math. Soc. 30 (1955), 273-286. DOI 10.1112/jlms/s1-30.3.273 | MR 0072968 | Zbl 0066.09204
[3] R. Henstock: A new descriptive definition of the Ward integral. J. Lond. Math. Soc. 35 (1960), 43-48. DOI 10.1112/jlms/s1-35.1.43 | MR 0110780 | Zbl 0095.04504
[4] R. Henstock: The equivalence of generalized forms of the Ward, variational, Denjoy-Stieltjes, and Perron-Stieltjes integrals. Proc. Lond. Math. Soc., III. Ser. 10 (1960), 281-303. DOI 10.1112/plms/s3-10.1.281 | MR 0121460 | Zbl 0131.29702
[5] R. Henstock: Definitions of Riemann type of the variational integrals. Proc. Lond. Math. Soc., III. Ser. 11 (1961), 402-418. DOI 10.1112/plms/s3-11.1.402 | MR 0132147 | Zbl 0099.27402
[6] R. Henstock: $N$-variation and $N$-variational integrals of set valued functions. Proc. Lond. Math. Soc., III. Ser. 11 (1961), 109-133. DOI 10.1112/plms/s3-11.1.109 | MR 0123671 | Zbl 0095.26601
[7] R. Henstock: Theory of Integration. Butterworth, London (1963). MR 0158047 | Zbl 0154.05001
[8] R. Henstock: Lectures on the Theory of Integration. Series in Real Analysis 1. World Scientific, Singapore (1988). DOI 10.1142/0510 | MR 0963249 | Zbl 0668.28001
[9] R. Henstock: The General Theory of Integration. Oxford University Press, Oxford (1991). DOI 10.1093/oso/9780198535669.001.0001 | MR 1134656 | Zbl 0745.26006
[10] J. Jarník, Š. Schwabik: Jaroslav Kurzweil septuagenarian. Czech. Math. J. 46 (1996), 375-382. DOI 10.21136/CMJ.1996.127300 | MR 1388626 | Zbl 0870.01012
[11] J. Jarník, Š. Schwabik: Jaroslav Kurzweil septuagenarian. Math. Bohem. 121 (1996), 215-222. DOI 10.21136/MB.1996.126099 | MR 1400614 | Zbl 0863.01013
[12] J. Jarník, Š. Schwabik, M. Tvrdý, I. Vrkoč: Sixty years of Jaroslav Kurzweil. Czech. Math. J. 36 (1986), 147-166. DOI 10.21136/CMJ.1986.102076 | MR 0822877 | Zbl 0596.01029
[13] J. Jarník, Š. Schwabik, M. Tvrdý, I. Vrkoč: Eighty years of Jaroslav Kurzweil. Math. Bohem. 131 (2006), 113-143. DOI 10.21136/MB.2006.134088 | MR 2242840 | Zbl 1106.01319
[14] D. Knees, C. Zanini: Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Discrete Contin. Dyn. Syst., Ser. S 14 (2021), 121-149. DOI 10.3934/dcdss.2020332 | MR 4186206 | Zbl 1458.35439
[15] P. Krejčí, M. Liero: Rate independent Kurzweil processes. Appl. Math., Praha 54 (2009), 117-145. DOI 10.1007/s10492-009-0009-5 | MR 2491851 | Zbl 1212.49007
[16] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter. Czech. Math. J. 7 (1957), 418-449. DOI 10.21136/CMJ.1957.100258 | MR 0111875 | Zbl 0090.30002
[17] J. Kurzweil: Generalized ordinary differential equations. Czech. Math. J. 8 (1958), 360-388. DOI 10.21136/CMJ.1958.100311 | MR 0111878 | Zbl 0094.05804
[18] J. Kurzweil: On integration by parts. Czech. Math. J. 8 (1958), 356-359. DOI 10.21136/CMJ.1958.100310 | MR 0111877 | Zbl 0094.03505
[19] J. Kurzweil: Nichtabsolut konvergente Integrale. Teubner-Texte zur Mathematik 26. B. G. Teubner, Leipzig (1980). (In German.) MR 0597703 | Zbl 0441.28001
[20] J. Kurzweil: Ordinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain. Studies in Applied Mechanics 13. Elsevier, Amsterdam (1986). MR 0929466 | Zbl 0667.34002
[21] J. Kurzweil: Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces. Series in Real Analysis 7. World Scientific, Singapore (2000). DOI 10.1142/4333 | MR 1763305 | Zbl 0954.28001
[22] J. Kurzweil: Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces. Series in Real Analysis 8. World Scientific, Singapore (2002). DOI 10.1142/5005 | MR 1908744 | Zbl 1018.26005
[23] J. Kurzweil: Generalized Ordinary Differential Equations: Not Absolutely Continuous Solutions. Series in Real Analysis 11. World Scientific, Singapore (2012). DOI 10.1142/7907 | MR 2906899 | Zbl 1248.34001
[24] J. Mawhin: In memoriam Jaroslav Kurzweil (1926-2022). Real Anal. Exch. 47 (2022), 251-260. DOI 10.14321/realanalexch.47.2.1654513566 | MR 4551034 | Zbl 1511.01045
[25] G. A. Monteiro, A. Slavík, M. Tvrdý: Kurzweil-Stieltjes Integral: Theory and Applications. Series in Real Analysis 15. World Scientific, Hackensack (2019). DOI 10.1142/9432 | MR 3839599 | Zbl 1437.28001
[26] T. W. Pavlíček: Ninety-five years of Jaroslav Kurzweil. Math. Bohem. 146 (2021), 115-129. DOI 10.21136/MB.2021.0045-21 | MR 4261362 | Zbl 1499.01042
[27] T. W. Pavlíček, B. Kulawiaková: The training of the Czech mathematician Jaroslav Kurzweil with Władysław Orlicz in Poland. Antiq. Math. 15 (2021), 181-206. DOI 10.14708/am.v15i1.7078 | MR 4467508 | Zbl 1518.01014
[28] Š. Schwabik: Generalized Ordinary Differential Equations. Series in Real Analysis 5. World Scientific, Singapore (1992). DOI 10.1142/1875 | MR 1200241 | Zbl 0781.34003
[29] Š. Schwabik, M. Tvrdý, O. Vejvoda: Differential and Integral Equations: Boundary Value Problems and Adjoints. D. Reidel, Dordrecht (1979). MR 0542283 | Zbl 0417.45001
[30] M. Tvrdý: Jaroslav Kurzweil (7. 5. 1926-17. 3. 2022). Equadiff 15: Conference on Differential Equations and Their Applications Masaryk University Press, Brno (2022), 25-28.

Affiliations:   Milan Tvrdý, Institute of Mathematics, Czech Academy of Sciences, Žitná 25, Prague, Czech Republic, e-mail: tvrdy@math.cas.cz


 
PDF available at: