Full entry |
PDF
(0.4 MB)
Feedback

References:

[1] **A contribution to the metric theory of diophantine approximations**. Czechoslovak Math. J. 1 (1951), 149–178. MR 0051273

[2] **On the uniqueness of solution of the modified Dirichlet problem**. Čas. pěst. mat. 78 (1953), 213–214. (Czech) MR 0078466

[3] **A characterization of analytic operations in real Banach spaces**. Studia Mathematica 14 (1953), 82–83. DOI 10.4064/sm-14-1-82-83 | MR 0062948 | Zbl 0052.34602

[4] **On approximation in real Banach spaces**. Studia Mathematica 14 (1954), 214–231. DOI 10.4064/sm-14-2-214-231 | MR 0068732

[5] **On the metric theory of inhomogeneous diophantine approximations**. Studia Mathematica 15 (1955), 84–112. DOI 10.4064/sm-15-1-84-112 | MR 0073654 | Zbl 0066.03702

[6] **On the theory of oscillations of an autonomous quasilinear system of ordinary differential equations**. Czechoslovak Math. J. 5 (1955), 517–531. (Russian) MR 0080828

[7] **On periodic and almost periodic solutions of the system of ordinary differential equations**. Czechoslovak Math. J. 5 (1955), 362–370. (Russian) MR 0076127

[8] **On the converse of the first Ljapunov theorem on stability of motion**. Czechoslovak Math. J. 5 (1955), 382–398. (Russian) MR 0077747

[9] **On the converse of the second Ljapunov theorem on stability of motion**. Czechoslovak Math. J. 6 (1956), 217–260, 455–485. MR 0085403

[10] **On the converse of Ljapunov stability theorem and Persidskij uniform stability theorem**. Czechoslovak Math. J. 7 (1957), 254–272 (with I. Vrkoč). (Russian)

[11] **On approximation in real Banach spaces by analytic operations**. Studia Mathematica 16 (1957), 124–129. DOI 10.4064/sm-16-2-124-129 | MR 0093697 | Zbl 0080.32602

[12] **On continuous dependence of solutions of differential equations on a parameter**. Czechoslovak Math. J. 7 (1957), 568–583 (with Z. Vorel). (Russian) MR 0111874

[13] **Generalized ordinary differential equations and continuous dependence on a parameter**. Czechoslovak Math. J. 7 (1957), 418–449. MR 0111875 | Zbl 0090.30002

[14] **Generalized ordinary differential equations**. Czechoslovak Math. J. 8 (1958), 360–388. MR 0111878 | Zbl 0102.07003

[15] **Unicity of solutions of generalized differential equations**. Czechoslovak Math. J. 8 (1958), 502–509. MR 0111880 | Zbl 0094.05901

[16] **On Dirac function in nonlinear differential equations**. Aplikace matematiky 3 (1958), 348–359 (with V. Doležal, Z. Vorel). (Czech) MR 0111879

[17] **On generalized ordinary differential equations possessing discontinuous solutions**. Prikl. mat. i mech. 22 (1958), 27–45. (Russian) MR 0111876 | Zbl 0102.07003

[19] **On some properties of linear differential equations**. Aplikace matematiky 4 (1959), 163–176 (with V. Doležal). (Czech)

[20] **Addition to my paper “Generalized ordinary differential equations and continuous dependence on a parameter”**. Czechoslovak Math. J. 9 (1959), 564–573. MR 0111882 | Zbl 0094.05902

[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. MR 0111887 | Zbl 0117.34401

[22] **Note on oscillatory solutions of the equation $y^{\prime \prime } +f(x) y^{2n-1} = 0$**. Čas. pěst. mat. 85 (1960), 357–358. (Russian) MR 0126025

[23] **On linear control systems**. Bul. Inst. Politeh. Iasi, N.Ser. 6(10) (1960), 13–19 (with Z. Vorel). MR 0137909 | Zbl 0106.05901

[24] **On continuous dependence on a parameter Contributions to the theory of nonlinear oscillations 5**. Princeton (1960), 25–35 (with J. Jarník). MR 0132232

[25] **On spectral decomposition of Hermitian operator**. Čas. pěst. mat. 86 (1961), 90–92. (Czech) MR 0140942

[26] **On analytic construction of regulators**. Avtomatika i telemechanika 26 (1961), 688–695. (Russian)

[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) MR 0181843

[28] **The averaging principle and its applications in partial differential equations**. Nonlinear Vibration Problems (1963), 142–148. MR 0186949 | Zbl 0145.12101

[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. MR 0177173 | Zbl 0151.12501

[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)

[31] **To the linear theory of optimal control**. Čas. pěst. mat. 89 (1964), 90–101. (Russian) MR 0182496

[32] **On an inequality for eigenvalues of integral equations**. Čas. pěst. mat. 89 (1964), 205–210. (Russian) MR 0182848

[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. MR 0197899 | Zbl 0178.43903

[34] **Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter**. Czechoslovak Math. J. 16 (1966), 380–423, 463–492. MR 0206440 | Zbl 0186.47701

[35] **Invariant manifolds for differential systems**. Atti VIII Congr. UMI, Trieste (1967), 291–292.

[36] **Van der Pol perturbation of the equation for a vibrating string**. Czechoslovak Math. J. 17 (1967), 558–608. MR 0219863 | Zbl 0164.41003

[37] **Invariant manifolds for flows**. Acta Fac. Rerum Nat. Univ. Comenianae, Proc. Equadiff Bratislava, 1966, Mathematica 17 (1967), 89–92. Zbl 0194.12401

[38] **Invariant manifolds of differential systems**. Proc. of Fourth Conf. on Nonlinear Oscillations, Academia, Praha (1968), 41–49. MR 0344603

[39] **Invariant manifolds of a class of linear functional differential equations**. Revue Roum. Math. Pures et Appl. 13 (1968), 113–1120. MR 0244581 | Zbl 0172.12201

[40] **A theory of invariant manifolds for flows**. Revue Roum. Math. Pures et Appl. 13 (1968), 1079–1097 (with A. Halanay). MR 0244580 | Zbl 0169.11403

[41] **Invariant sets of differential systems**. Differencialnye uravnenija 4 (1968), 785–797. (Russian) MR 0232044 | Zbl 0185.17701

[42] **Invariant manifolds for flows**. Differential Equations and Dyn. Systems. Proc. Int. Symp. Mayaguez 1967, Academic Press, 431–468. MR 0218698 | Zbl 0691.58034

[43] **Invariant manifolds of differential systems**. Z. Angew. Math. Mech. 49 (1969), 11–14. DOI 10.1002/zamm.19690490103 | Zbl 0198.43001

[44] **On invariant sets and invariant manifolds of differential systems**. J. Differ. Equations 6 (1969), 247–263 (with J. Jarník). MR 0249729 | Zbl 0176.39101

[45] **Global solutions of functional differential equations**. Seminar on Diff. Equations and Dynamical Systems 11, Lecture Notes in Math. 144, Springer (1970), 134–139. MR 0430469 | Zbl 0224.34054

[46] **Uniqueness and differentiability of solutions of ordinary differential equations and total differential equations**. Math. Inst. Univ. of Warwick, preprint (1969), 1–26.

[47] **Global solutions of functional differential equations**. Univ. of Maryland, The Inst. for Fluid Dynamics and Applied Math., Technical Note BN629, 1969. Zbl 0224.34054

[48] **Small delays don’t matter**. Math. Inst. Univ. of Warwick, preprint (1969), 1–17.

[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. MR 0279405 | Zbl 0206.38901

[51] **On solutions of nonautonomous linear delayed differential equations which are defined and bounded for $t\rightarrow -\infty $**. CMUC 12 (1971), 69–72. MR 0282023

[52] **On solutions of nonautonomous linear delayed differential equations which are exponentially bounded for $t\rightarrow -\infty $**. Čas. pěst. mat. 96 (1971), 229–238. MR 0298164

[53] **Solutions of linear nonautonomous functional differential equations which are exponentially bounded for $t\rightarrow -\infty $**. J. Differ. Equations 11 (1972), 376–384. DOI 10.1016/0022-0396(72)90052-6 | MR 0310396

[54] **On a system of operator equations**. J. Differ. Equations 11 (1972), 364–375. DOI 10.1016/0022-0396(72)90051-4 | Zbl 0211.17701

[55] **On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces**. Czechoslovak Math. J. 22 (1972), 454–461. MR 0348459

[56] **On the maximum value of a class of determinants**. Matem. časopis 23 (1973), 40–42. MR 0323801 | Zbl 0254.15005

[57] **On Fubini theorem for general Perron integral**. Czechoslovak Math. J. 29 (1973), 286–297. MR 0333086 | Zbl 0267.26006

[58] **On multiplication of Perron-integrable functions**. Czechoslovak Math. J. 23 (1973), 542–566. MR 0335705 | Zbl 0269.26007

[59] **Ryabov’s special solutions of functional differential equations**. Boll. U.M.I. 11. Zbl 0362.34055

[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).

[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). MR 0592613 | Zbl 0414.34014

[62] **Reducing differential inclusions**. Abh. Akad. Wiss. DDR, Abt. Mathematik, Naturwissenschaften, Technik No. 3 (1977), 477–479 (with J. Jarník). MR 0508301 | Zbl 0359.34002

[63] **On differential relations and on Filippov’s concept of differential equations**. Proc. Uppsala 1977 Int. Conf. on Diff. Eq., Uppsala (1977), 109–113. MR 0499400 | Zbl 0404.34012

[64] **On conditions on right hand sides of differential relations**. Čas. pěst. mat. 102 (1977), 334–349 (with J. Jarník). MR 0466702 | Zbl 0369.34002

[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). MR 0504159 | Zbl 0383.34010

[66] **On differential relations**. Proc. 8. Int. Conf. on Nonlin. Osc., Praha (1978), 39–49.

[67] **Kneser’s theorem for multivalued differential delay equations**. Čas. pěst. mat. 104 (1979), 1–8 (with P. Krbec). MR 0523570 | Zbl 0405.34059

[68] **Sets of solutions of differential relations**. Čas. pěst. mat. 106 (1981), 554–568 (with J. Jarník). MR 0631602 | Zbl 0487.34011

[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. Zbl 0547.34012

[70] **Integral of multivalued mappings and its connection with differential relations**. Čas. pěst. mat. 108 (1983), 8–28 (with J. Jarník). MR 0694137 | Zbl 0536.28006

[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).

[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). Zbl 0555.34038

[73] **On Mawhin’s approach to multiple nonabsolutely convergent integrals**. Čas. pěst. mat. 108 (1983), 356–380 (with J. Jarník, Š. Schwabik). MR 0727536

[74] **The integral as a limit of integral sums**. Jahrbuch Ueberblicke Mathematik 1984. Bibliographisches Inst. AG (1984), 105–136. Zbl 0554.26007

[75] **A non-absolutely convergent integral which admits $C^1$-transformations**. Čas. pěst. mat. 109 (1984), 157–167 (with J. Jarník). MR 0744873

[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). MR 0779340

[77] **On regularization of right hand sides of differential relations**. Proc. Royal Soc. Edinburgh 97A (1984), 151–159 (with J. Jarník). MR 0751186 | Zbl 0561.34044

[78] **A new and more powerful concept of the $\mathop {\text{PU}}$-integral**. Czechoslovak Math. J. 38 (1988), 8–48 (with J. Jarník). MR 0925939

[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). MR 0877117 | Zbl 0619.26006

[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). MR 0893741 | Zbl 0622.26007

[81] **Limit processes in ordinary differential equations**. Zeitschrift für Angewandte Mathematik und Physik 38 (1987), 241–256 (with J. Jarník). MR 0885687 | Zbl 0616.34004

[82] **A general form of the product integral and linear ordinary differential equations**. Czechoslovak Math. J. 37 (1987), 642–659 (with J. Jarník). MR 0913996 | Zbl 0642.26004

[83] **Linear differential equations with quasiperiodic coefficients**. Czechoslovak Math. J. 37 (1987), 424–470 (with A. Vencovská). MR 0904770 | Zbl 0637.34003

[84] **Iterated Lie brackets in limit processes in ordinary differential equations**. Resultate der Mathematik 14 (1988), 125–137 (with J. Jarník). MR 0956009 | Zbl 0663.34043

[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). MR 0977517

[86] **Structural stability of linear discrete systems via the exponential dichotomy**. Czechoslovak Math. J. 38 (1988), 280–284 (with G. Papaschinopoulos). MR 0946297 | Zbl 0661.93060

[87] **The $\mathop {\text{PU}}$-integral and its properties**. Real Analysis Exchange 14 (1988–89), 34–43 (with J. Jarník).

[88] **Ordinary differential equations the solutions of which are $ACG_*$-functions**. Archivum Mathematicum 26 (1990), 129–136 (with Š. Schwabik).

[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). MR 1093991 | Zbl 0733.26005

[90] **The $\mathop {\text{PU}}$-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). MR 1051921

[91] **Topological equivalence and structural stability for linear difference equations**. J. Differ. Equations 89 (1991), 89–94 (with G. Papaschinopoulos). MR 1088336 | Zbl 0753.34040

[92] **An integral defined by approximating $BV$ partitions of unity**. Czechoslovak Math. J. 41 (1991), 695–712 (with J. Mawhin and W. Pfeffer). MR 1134958 | Zbl 0763.26007

[93] **Equiintegrability and controlled convergence of Perron-type integrable functions**. Real Analysis Exchange 17 (1991–92), 110-139 (with J. Jarník). MR 1147361

[94] **Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals**. Results in Mathematics 21 (1992), 138–151 (with J. Jarník). MR 1146639 | Zbl 0764.28005

[95] **Equivalent definitions of regular generalized Perron integral**. Czechoslovak Math. J. 42 (1992), 365–378 (with J. Jarník). MR 1179506 | Zbl 0782.26004

[96] **Generalized multidimensional Perron integral involving a new regularity condition**. Results in Mathematics 23 (1993), 363–373 (with J. Jarník). MR 1215221 | Zbl 0782.26003

[97] **Pfeffer integrability does not imply $M_1$-integrability**. Czechoslovak Math. J. 44 (1994), 47–56 (with J. Jarník). MR 1257935

[98] **Perron-type integration on $n$-dimensional intervals and its properties**. Czechoslovak Math. J. 45 (1995), 79–106 (with J. Jarník). MR 1314532 | Zbl 0832.26009

[99] **Nonabsolutely convergent integrals via integral sums in $\mathbb{R}^n$**. Tatra Mountains Math. Publications 8 (1996), 191–201. MR 1475281

[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). MR 1371683 | Zbl 0902.26007

[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). MR 1461432 | Zbl 0902.26006

[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). MR 1709540

[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). MR 1728847

[104] **The set of primitives of Henstock-Kurzweil integrable functions as a convergence vector space**. Tatra Mount. Math. Publ. 14 (1998), 29–37. MR 1651192

[105] **A nonexistence result for the Kurzweil integral**. Math. Bohem. 127 (2002), 571–580 (with P. Krejčí). MR 1942642 | Zbl 1005.26005

[106] **The revival of the Riemannian approach to integration**. Banach Center Publications, Vol. 64 (Orlicz Centenary Volume), Warszawa (2004), 147–158. MR 2099466 | Zbl 1052.26008

[107] **McShane equi-integrability and Vitali’s convergence theorem**. Math. Bohem. 129 (2004), 141–157 (with Š. Schwabik). MR 2073511 | Zbl 1051.26012

[108] **On McShane integrability of Banach space-valued functions**. Real Analysis Exchange 29 (2003/2004), 763–780 (with Š. Schwabik). MR 2083811

[B1] **Integral Equations**. Lecture Notes, SPN, Praha, 1963. (Czech) Zbl 0219.65099

[B2] **Differential Equations (Ordinary differential equations in the real domain)**. Lecture Notes SPN, Praha, 1968. (Czech)

[B3] **Ordinary Differential Equations in the Real Domain**. Lecture Notes SPN, Praha, 1970. (Czech)

[B5] **Nichtabsolut konvergente Integrale**. Teubner Texte zur Mathematik, Bd. 26. Teubner, Leipzig, 1980. MR 0597703 | Zbl 0441.28001

[B6] **Appendix A: The Perron-Ward Integral and Related Concepts**. In the monograph K. Jacobs: Measure and Integral, Academic Press, 1978, pp. 515–533.

[B7] **Ordinary Differential Equations**. SNTL Praha-Elsevier Publ., Amsterdam, 1986. MR 0929466 | Zbl 0979.34508

[B8] **Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces**. World Scientific, Singapore, 2000. MR 1763305 | Zbl 0954.28001

[B9] **Integration between the Lebesgue Integral and the Henstock-Kurzweil Integral. Its Relation to Local Convex Vector Spaces**. World Scientific, Singapore, 2002. MR 1908744 | Zbl 1018.26005