Eighty years of Jaroslav Kurzweil

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1. A contribution to the metric theory of diophantine approximations, Czechoslovak Math. J. 1 (1951), 149–178. (1951) MR0051273
2. On the uniqueness of solution of the modified Dirichlet problem, Čas. pěst. mat. 78 (1953), 213–214. (Czech) (1953) MR0078466
3. 10.4064/sm-14-1-82-83, Studia Mathematica 14 (1953), 82–83. (1953) Zbl0052.34602MR0062948DOI10.4064/sm-14-1-82-83
4. 10.4064/sm-14-2-214-231, Studia Mathematica 14 (1954), 214–231. (1954) MR0068732DOI10.4064/sm-14-2-214-231
5. 10.4064/sm-15-1-84-112, Studia Mathematica 15 (1955), 84–112. (1955) Zbl0066.03702MR0073654DOI10.4064/sm-15-1-84-112
6. On the theory of oscillations of an autonomous quasilinear system of ordinary differential equations, Czechoslovak Math. J. 5 (1955), 517–531. (Russian) (1955) MR0080828
7. On periodic and almost periodic solutions of the system of ordinary differential equations, Czechoslovak Math. J. 5 (1955), 362–370. (Russian) (1955) MR0076127
8. On the converse of the first Ljapunov theorem on stability of motion, Czechoslovak Math. J. 5 (1955), 382–398. (Russian) (1955) MR0077747
9. On the converse of the second Ljapunov theorem on stability of motion, Czechoslovak Math. J. 6 (1956), 217–260, 455–485. (1956) MR0085403
10. On the converse of Ljapunov stability theorem and Persidskij uniform stability theorem, Czechoslovak Math. J. 7 (1957), 254–272 (with I. Vrkoč). (Russian) (1957) 
11. 10.4064/sm-16-2-124-129, Studia Mathematica 16 (1957), 124–129. (1957) Zbl0080.32602MR0093697DOI10.4064/sm-16-2-124-129
12. On continuous dependence of solutions of differential equations on a parameter, Czechoslovak Math. J. 7 (1957), 568–583 (with Z. Vorel). (Russian) (1957) MR0111874
13. Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J. 7 (1957), 418–449. (1957) Zbl0090.30002MR0111875
14. Generalized ordinary differential equations, Czechoslovak Math. J. 8 (1958), 360–388. (1958) Zbl0102.07003MR0111878
15. Unicity of solutions of generalized differential equations, Czechoslovak Math. J. 8 (1958), 502–509. (1958) Zbl0094.05901MR0111880
16. On Dirac function in nonlinear differential equations, Aplikace matematiky 3 (1958), 348–359 (with V. Doležal, Z. Vorel). (Czech) (1958) MR0111879
17. On generalized ordinary differential equations possessing discontinuous solutions, Prikl. mat. i mech. 22 (1958), 27–45. (Russian) (1958) Zbl0102.07003MR0111876
18. On integration by parts, Czechoslovak Math. J. 8 (1958), 356–359. (1958) Zbl0094.03505MR0111877
19. On some properties of linear differential equations, Aplikace matematiky 4 (1959), 163–176 (with V. Doležal). (Czech) (1959) 
20. Addition to my paper “Generalized ordinary differential equations and continuous dependence on a parameter”, Czechoslovak Math. J. 9 (1959), 564–573. (1959) Zbl0094.05902MR0111882
21. Linear differential equations with distributions as coefficients, Bull. de l’Academie Polonaise des Sciences, Ser. des sci. math., astr. et phys. VII (1959), 557–560. (1959) Zbl0117.34401MR0111887
22. Note on oscillatory solutions of the equation $y^{\text{'}\text{'}}+f\left(x\right)y^{2n-1}=0$, Čas. pěst. mat. 85 (1960), 357–358. (Russian) (1960) MR0126025
23. On linear control systems, Bul. Inst. Politeh. Iasi, N.Ser. 6(10) (1960), 13–19 (with Z. Vorel). (1960) Zbl0106.05901MR0137909
24. On continuous dependence on a parameter Contributions to the theory of nonlinear oscillations 5, Princeton (1960), 25–35 (with J. Jarník). (1960) MR0132232
25. On spectral decomposition of Hermitian operator, Čas. pěst. mat. 86 (1961), 90–92. (Czech) (1961) MR0140942
26. On analytic construction of regulators, Avtomatika i telemechanika 26 (1961), 688–695. (Russian) (1961) 
27. On the averaging principle in some special cases of boundary value problems for partial differential equations, Čas. pěst. mat. 88 (1963), 444–456. (Russian) (1963) MR0181843
28. The averaging principle and its applications in partial differential equations, Nonlinear Vibration Problems (1963), 142–148. (1963) Zbl0145.12101MR0186949
29. Problems which lead to a generalization of the concept of an ordinary nonlinear differential equation, Proc. of Conf. Equadiff, Academia, Praha (1963), 65–76. (1963) Zbl0151.12501MR0177173
30. On a system of the third order describing the motion of a material point accounting for the inner friction, Trudy Mezhdunarod. simp. po nelinejnym kolebanijam. Kiev (1963), 220–222. (Russian) (1963) 
31. To the linear theory of optimal control, Čas. pěst. mat. 89 (1964), 90–101. (Russian) (1964) MR0182496
32. On an inequality for eigenvalues of integral equations, Čas. pěst. mat. 89 (1964), 205–210. (Russian) (1964) MR0182848
33. Über die asymptotische Methode in der Theorie der nichtlinearen Differentialgleichungen, III. Konferenz über nichtlineare Schwingungen, Abhandlungen der Deutschen Akad. der Wiss., Klasse Math., Phys., Astr. (1965), 1–9. (1965) Zbl0178.43903MR0197899
34. Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter, Czechoslovak Math. J. 16 (1966), 380–423, 463–492. (1966) Zbl0186.47701MR0206440
35. Invariant manifolds for differential systems, Atti VIII Congr. UMI, Trieste (1967), 291–292. (1967) 
36. Van der Pol perturbation of the equation for a vibrating string, Czechoslovak Math. J. 17 (1967), 558–608. (1967) Zbl0164.41003MR0219863
37. Invariant manifolds for flows, Acta Fac. Rerum Nat. Univ. Comenianae, Proc. Equadiff Bratislava, 1966, Mathematica 17 (1967), 89–92. (1967) Zbl0194.12401
38. Invariant manifolds of differential systems, Proc. of Fourth Conf. on Nonlinear Oscillations, Academia, Praha (1968), 41–49. (1968) MR0344603
39. Invariant manifolds of a class of linear functional differential equations, Revue Roum. Math. Pures et Appl. 13 (1968), 113–1120. (1968) Zbl0172.12201MR0244581
40. A theory of invariant manifolds for flows, Revue Roum. Math. Pures et Appl. 13 (1968), 1079–1097 (with A. Halanay). (1968) Zbl0169.11403MR0244580
41. Invariant sets of differential systems, Differencialnye uravnenija 4 (1968), 785–797. (Russian) (1968) Zbl0185.17701MR0232044
42. Invariant manifolds for flows, Differential Equations and Dyn. Systems. Proc. Int. Symp. Mayaguez 1967, Academic Press, 431–468. Zbl0691.58034MR0218698
43. 10.1002/zamm.19690490103, Z. Angew. Math. Mech. 49 (1969), 11–14. (1969) Zbl0198.43001DOI10.1002/zamm.19690490103
44. On invariant sets and invariant manifolds of differential systems, J. Differ. Equations 6 (1969), 247–263 (with J. Jarník). (1969) Zbl0176.39101MR0249729
45. Global solutions of functional differential equations, Seminar on Diff. Equations and Dynamical Systems 11, Lecture Notes in Math. 144, Springer (1970), 134–139. (1970) Zbl0224.34054MR0430469
46. Uniqueness and differentiability of solutions of ordinary differential equations and total differential equations, Math. Inst. Univ. of Warwick, preprint (1969), 1–26. (1969) 
47. Global solutions of functional differential equations, Univ. of Maryland, The Inst. for Fluid Dynamics and Applied Math., Technical Note BN629, 1969. Zbl0224.34054
48. Small delays don’t matter, Math. Inst. Univ. of Warwick, preprint (1969), 1–17. (1969) 
49. Invariant manifolds I, CMUC 11 (1970), 309–336. (1970) Zbl0197.47702MR0296963
50. Existence of global solutions of delayed differential equations on compact manifolds, Rend. Ist. di Matem. Univ. Trieste, vol. II, fasc. II (1970), 106–108. (1970) Zbl0206.38901MR0279405
51. On solutions of nonautonomous linear delayed differential equations which are defined and bounded for $t\to -\infty$, CMUC 12 (1971), 69–72. (1971) MR0282023
52. On solutions of nonautonomous linear delayed differential equations which are exponentially bounded for $t\to -\infty$, Čas. pěst. mat. 96 (1971), 229–238. (1971) MR0298164
53. 10.1016/0022-0396(72)90052-6, J. Differ. Equations 11 (1972), 376–384. (1972) MR0310396DOI10.1016/0022-0396(72)90052-6
54. 10.1016/0022-0396(72)90051-4, J. Differ. Equations 11 (1972), 364–375. (1972) Zbl0211.17701DOI10.1016/0022-0396(72)90051-4
55. On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces, Czechoslovak Math. J. 22 (1972), 454–461. (1972) MR0348459
56. On the maximum value of a class of determinants, Matem. časopis 23 (1973), 40–42. (1973) Zbl0254.15005MR0323801
57. On Fubini theorem for general Perron integral, Czechoslovak Math. J. 29 (1973), 286–297. (1973) Zbl0267.26006MR0333086
58. On multiplication of Perron-integrable functions, Czechoslovak Math. J. 23 (1973), 542–566. (1973) Zbl0269.26007MR0335705
59. Ryabov’s special solutions of functional differential equations, Boll. U.M.I. 11. Zbl0362.34055
60. On Ryabov’s Special solutions of functional differential equations, Colloquia Math. Soc. J. Bolyai I5, Differential Equations, Keszthely, Hungary (1975), 303–307 (with J. Jarník). (1975) 
61. Right-hand sides of differential inclusions which cannot be reduced, Problemy asymptotičeskoj teorii nelinejnych kolebanij, Naukova Dumka, Kiev, 1977, 122–132 (with J. Jarník). Zbl0414.34014MR0592613
62. Reducing differential inclusions, Abh. Akad. Wiss. DDR, Abt. Mathematik, Naturwissenschaften, Technik No. 3 (1977), 477–479 (with J. Jarník). (1977) Zbl0359.34002MR0508301
63. On differential relations and on Filippov’s concept of differential equations, Proc. Uppsala 1977 Int. Conf. on Diff. Eq., Uppsala (1977), 109–113. (1977) Zbl0404.34012MR0499400
64. On conditions on right hand sides of differential relations, Čas. pěst. mat. 102 (1977), 334–349 (with J. Jarník). (1977) Zbl0369.34002MR0466702
65. Extension of a Scorza-Dragoni theorem to differential relations and functional differential relations, Commentat. Math. Spec. Vol. I, dedic. L. Orlicz (1978), 147–158 (with J. Jarník). (1978) Zbl0383.34010MR0504159
66. On differential relations, Proc. 8. Int. Conf. on Nonlin. Osc., Praha (1978), 39–49. (1978) 
67. Kneser’s theorem for multivalued differential delay equations, Čas. pěst. mat. 104 (1979), 1–8 (with P. Krbec). (1979) Zbl0405.34059MR0523570
68. Sets of solutions of differential relations, Čas. pěst. mat. 106 (1981), 554–568 (with J. Jarník). (1981) Zbl0487.34011MR0631602
69. Nonautonomous Differential relations and their connections with differential equations the right hand side of which is discontinuous with respect to space variables, Proc. of the Second Conference Rousse’81, Rousse, 1982. (1982) Zbl0547.34012
70. Integral of multivalued mappings and its connection with differential relations, Čas. pěst. mat. 108 (1983), 8–28 (with J. Jarník). (1983) Zbl0536.28006MR0694137
71. On a problem in the theory of linear differential equations with quasi-periodic coefficients, Proc. of the 9th Int. Conf. on Nonlin. Osc., Kiev 1981, Vol. 1, Kiev (1984), 214–217 (with A. Vencovská). (1984) 
72. On linear differential equations with almost periodic coefficients and the property that the unit sphere is invariant, Proc. Int. Conf. Equadiff 82, Lecture Notes in Math. 1017, Springer, 1983, 364–368 (with A. Vencovská). Zbl0555.34038
73. On Mawhin’s approach to multiple nonabsolutely convergent integrals, Čas. pěst. mat. 108 (1983), 356–380 (with J. Jarník, Š. Schwabik). (1983) MR0727536
74. The integral as a limit of integral sums, Jahrbuch Ueberblicke Mathematik 1984. Bibliographisches Inst. AG (1984), 105–136. (1984) Zbl0554.26007
75. A non-absolutely convergent integral which admits $C^1$-transformations, Čas. pěst. mat. 109 (1984), 157–167 (with J. Jarník). (1984) MR0744873
76. A non-absolutely convergent integral which admits transformation and can be used for integration on manifold, Czechoslovak Math. J. 35 (1985), 116–139 (with J. Jarník). (1985) MR0779340
77. On regularization of right hand sides of differential relations, Proc. Royal Soc. Edinburgh 97A (1984), 151–159 (with J. Jarník). (1984) Zbl0561.34044MR0751186
78. A new and more powerful concept of the $\text{PU}$-integral, Czechoslovak Math. J. 38 (1988), 8–48 (with J. Jarník). (1988) MR0925939
79. Perron integral, Perron product integral and ordinary linear differential equations, Equadiff 6., Lecture Notes in Mathematics 1192 (eds. J. Vosmanský, M. Zlámal), Berlin, Springer, 1986, pp. 149–154 (with J. Jarník). (1986) Zbl0619.26006MR0877117
80. On some extensions of the Perron integral on one dimensional intervals. An approach by integral sums fulfilling a symmetry condition, Functiones et Approximatio Commentarii Mathematici 17 (1987), 49–55 (with J. Jarník). (1987) Zbl0622.26007MR0893741
81. Limit processes in ordinary differential equations, Zeitschrift für Angewandte Mathematik und Physik 38 (1987), 241–256 (with J. Jarník). (1987) Zbl0616.34004MR0885687
82. A general form of the product integral and linear ordinary differential equations, Czechoslovak Math. J. 37 (1987), 642–659 (with J. Jarník). (1987) Zbl0642.26004MR0913996
83. Linear differential equations with quasiperiodic coefficients, Czechoslovak Math. J. 37 (1987), 424–470 (with A. Vencovská). (1987) Zbl0637.34003MR0904770
84. Iterated Lie brackets in limit processes in ordinary differential equations, Resultate der Mathematik 14 (1988), 125–137 (with J. Jarník). (1988) Zbl0663.34043MR0956009
85. A convergence effect in ordinary differential equations, Asymptotic Methods of Mathematical Physics. (ed. V. S. Korolyuk) Naukova Dumka, Kiev (1988), 134–144 (with J. Jarník). (1988) MR0977517
86. Structural stability of linear discrete systems via the exponential dichotomy, Czechoslovak Math. J. 38 (1988), 280–284 (with G. Papaschinopoulos). (1988) Zbl0661.93060MR0946297
87. The $\text{PU}$-integral and its properties, Real Analysis Exchange 14 (1988–89), 34–43 (with J. Jarník). (1988–89) 
88. Ordinary differential equations the solutions of which are $AC{G}_{*}$-functions, Archivum Mathematicum 26 (1990), 129–136 (with Š. Schwabik). (1990) 
89. On a generalization of the Perron integral on one-dimensional intervals, Annales Polonici Mathematici (Zdzislaw Opial in memoriam) 51 (1990), 205–218 (with J. Jarník). (1990) Zbl0733.26005MR1093991
90. The $\text{PU}$-integral: its definitions and some basic properties, New Integrals, Proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9–12, 1988 (eds. P. S. Bullen, P. Y. Lee, J. Mawhin, P. Muldowney, W. F. Pfeffer) Lecture Notes in Math. 1419, Springer, Berlin (1990), 66–81 (with J. Jarník). (1990) MR1051921
91. Topological equivalence and structural stability for linear difference equations, J. Differ. Equations 89 (1991), 89–94 (with G. Papaschinopoulos). (1991) Zbl0753.34040MR1088336
92. An integral defined by approximating $BV$ partitions of unity, Czechoslovak Math. J. 41 (1991), 695–712 (with J. Mawhin and W. Pfeffer). (1991) Zbl0763.26007MR1134958
93. Equiintegrability and controlled convergence of Perron-type integrable functions, Real Analysis Exchange 17 (1991–92), 110-139 (with J. Jarník). (1991–92) MR1147361
94. Differentiability and integrability in $n$ dimensions with respect to $\alpha$-regular intervals, Results in Mathematics 21 (1992), 138–151 (with J. Jarník). (1992) Zbl0764.28005MR1146639
95. Equivalent definitions of regular generalized Perron integral, Czechoslovak Math. J. 42 (1992), 365–378 (with J. Jarník). (1992) Zbl0782.26004MR1179506
96. Generalized multidimensional Perron integral involving a new regularity condition, Results in Mathematics 23 (1993), 363–373 (with J. Jarník). (1993) Zbl0782.26003MR1215221
97. Pfeffer integrability does not imply $M_1$-integrability, Czechoslovak Math. J. 44 (1994), 47–56 (with J. Jarník). (1994) MR1257935
98. Perron-type integration on $n$-dimensional intervals and its properties, Czechoslovak Math. J. 45 (1995), 79–106 (with J. Jarník). (1995) Zbl0832.26009MR1314532
99. Nonabsolutely convergent integrals via integral sums in ${ℝ}^n$, Tatra Mountains Math. Publications 8 (1996), 191–201. (1996) MR1475281
100. Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence, Czechoslovak Math. J. 46 121 (1996), 1–20 (with J. Jarník). (1996) Zbl0902.26007MR1371683
101. Another Perron type integration in $n$-dimensions as an extension of integration of stepfunctions, Czechoslovak Math. J. 47 (1997), 557–575 (with J. Jarník). (1997) Zbl0902.26006MR1461432
102. A convergence theorem for Henstock-Kurzweil integral and its relation to topology, Bull. Acad. Royal de Belgique, Classe de Sci. 7–12 (1997), 217–230 (with J. Jarník). (1997) MR1709540
103. Convergence cannot be replaced by a locally convex topology, Bulletin de la Classe des Sciences. Acad. Royale Belgique 9 (1998), 331–347 (with J. Jarník). (1998) MR1728847
104. The set of primitives of Henstock-Kurzweil integrable functions as a convergence vector space, Tatra Mount. Math. Publ. 14 (1998), 29–37. (1998) MR1651192
105. A nonexistence result for the Kurzweil integral, Math. Bohem. 127 (2002), 571–580 (with P. Krejčí). (2002) Zbl1005.26005MR1942642
106. The revival of the Riemannian approach to integration, Banach Center Publications, Vol. 64 (Orlicz Centenary Volume), Warszawa (2004), 147–158. (2004) Zbl1052.26008MR2099466
107. McShane equi-integrability and Vitali’s convergence theorem, Math. Bohem. 129 (2004), 141–157 (with Š. Schwabik). (2004) Zbl1051.26012MR2073511
108. On McShane integrability of Banach space-valued functions, Real Analysis Exchange 29 (2003/2004), 763–780 (with Š. Schwabik). (2003/2004) MR2083811
109. Integral Equations, Lecture Notes, SPN, Praha, 1963. (Czech) (1963) Zbl0219.65099
110. Differential Equations (Ordinary differential equations in the real domain), Lecture Notes SPN, Praha, 1968. (Czech) (1968) 
111. Ordinary Differential Equations in the Real Domain, Lecture Notes SPN, Praha, 1970. (Czech) (1970) 
112. Ordinary Differential Equations, TKI, SNTL Praha, 1978. (Czech) (1978) Zbl0956.34503MR0617010
113. Nichtabsolut konvergente Integrale, Teubner Texte zur Mathematik, Bd. 26. Teubner, Leipzig, 1980. (1980) Zbl0441.28001MR0597703
114. Appendix A: The Perron-Ward Integral and Related Concepts, In the monograph K. Jacobs: Measure and Integral, Academic Press, 1978, pp. 515–533. (1978) 
115. Ordinary Differential Equations, SNTL Praha-Elsevier Publ., Amsterdam, 1986. (1986) Zbl0979.34508MR0929466
116. Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces, World Scientific, Singapore, 2000. (2000) Zbl0954.28001MR1763305
117. Integration between the Lebesgue Integral and the Henstock-Kurzweil Integral. Its Relation to Local Convex Vector Spaces, World Scientific, Singapore, 2002. (2002) Zbl1018.26005MR1908744

1. Jiří Jarník, Pavel Krejčí, Antonín Slavík, Milan Tvrdý, Ivo Vrkoč, Ninety years of Jaroslav Kurzweil
2. Tomáš W. Pavlíček, Ninety-five years of Jaroslav Kurzweil
3. Tomáš W. Pavlíček, Rozhovor s prof. Jaroslavem Kurzweilem