Jaroslav Kurzweil | Academic Influence

Jaroslav Kurzweil's AcademicInfluence.com Rankings

Jaroslav Kurzweil

Mathematics

#1435

World Rank

#2359

Historical Rank

Measure Theory

#2308

World Rank

#2763

Historical Rank

mathematics Degrees

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Mathematics

Jaroslav Kurzweil's Degrees

PhD Mathematics Charles University

Why Is Jaroslav Kurzweil Influential?

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According to Wikipedia, Jaroslav Kurzweil was a Czech mathematician. Biography Born in Prague, Czechoslovakia, he was a specialist in ordinary differential equations and defined the Henstock–Kurzweil integral in terms of Riemann sums, first published in 1957 in the Czechoslovak Mathematical Journal. Kurzweil has been awarded the highest possible scientific prize of Czechia, the "Czech Brain" of the year 2006, as an acknowledgement of his life achievements.

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Jaroslav Kurzweil's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Generalized ordinary differential equations and continuous dependence on a parameter (1957) (400)
On approximation in real Banach spaces (1954) (107)
On the metric theory of inhomogeneous diophantine approximations (1955) (55)
A non absolutely convergent integral which admits transformation and can be used for integration on manifolds (1985) (39)
Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces (2000) (38)
Ordinary differential equations (1986) (37)
Iterated Lie brackets in limit processes in ordinary differential equations (1988) (36)
On Mawhin's approach to multiple nonabsolutely convergent integral (1983) (34)
On conditions on right hand sides of differential relations (1977) (33)
Generalized ordinary differential equations (1958) (32)
Limit processes in ordinary differential equations (1987) (30)
Generalized Ordinary Differential Equations: Not Absolutely Continuous Solutions (2012) (26)
Differentiability and Integrability in n Dimensions with Respect to α-Regular Intervals (1992) (24)
Topological equivalence and structural stability for linear difference equations (1991) (24)
Small delays don't matter (1971) (24)
Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter (1966) (23)
On multiplication of Perron-integrable functions (1973) (21)
A new and more powerful concept of the PU-integral (1988) (20)
A general form of the product integral and linear ordinary differential equations (1987) (20)
An Integral Defined By Approximating Bv Partitions of Unity (1991) (19)
A nonexistence result for the Kurzweil integral (2002) (15)
Structural stability of linear discrete systems via the exponential dichotomy (1988) (14)
On McShane integrability of Banach space-valued functions. (2004) (14)
Ordinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain (2014) (12)
Van der Pol perturbation of the equation for a vibrating string (1967) (12)
On invariant sets and invariant manifolds of differential systems (1969) (12)
A contribution to the metric theory of Diophantine approximations (1951) (12)
Unicity of solutions of generalized differential equations (1958) (12)
On the reversibility of the first theorem of Lyapunov concerning the stability of motion (1955) (12)
A non-absolutely convergent integral which admits $C^1$-transformations (1984) (10)
Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence (1996) (10)
Global solutions of functional differential equations (1970) (10)
Perron-type integration on $n$-dimensional intervals and its properties (1995) (10)
McShane equi-integrability and Vitali’s convergence theorem (2004) (9)
On approximation in real Banach spaces by analytic operations (1957) (9)
Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces (2002) (9)
On Fubini theorem for general Perron integral (1973) (8)
Invariant Manifolds of Differential Systems (1969) (8)
Solutions of linear nonautonomous functional differential equations which are exponentially bounded for t (1972) (6)
On a system of operator equations (1972) (5)
II. Continuous Dependence on a Parameter (1960) (5)
Ordinary differential equations the solution of which are $ACG_*$-functions (1990) (5)
Generalized Multidimensional Perron Integral Involving a New Regularity Condition (1993) (4)
On regularization of right hand sides of differential relations (1984) (4)
Integration between the Lebesgue Integral and the Henstock-Kurzweil Integral (2002) (4)
On a generalization of the Perron integral on one-dimensional intervals (1990) (4)
Kneser's theorem for multivalued differential delay equations (1979) (4)
On integration by parts (1958) (3)
A note on oscillatory solution of equation $y''+f(x)y^{2n-1} = 0$ (1960) (3)
On linear differential equations with almostperiodic coefficients and the property that the unit sphere is invariant (1983) (3)
Perron integral, perron product integral and ordinary linear differential equations (1986) (2)
Sur l’équation $\ddot{x} + f(t)x = 0$ (1957) (2)
Another Perron type integration in n dimensions as an extension of integration of stepfunctions (1997) (2)
Product integration . Its history and applications Kurzweil and McShane product integrals (2016) (2)
On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces (1972) (2)
The PU-integral: its definition and some basic properties (1990) (2)
The revival of the Riemannian approach to integration (2004) (1)
A characterization of analytic operations in real Banach spaces (1953) (1)
On the Maximum Value of a Class of Determinants (1973) (1)
AN ABSTRACT SETTING (2000) (1)
Existence of global solutions of delayed differential equations on compact manifolds (1970) (1)
Pfeffer integrability does not imply $M_1$-integrability (1994) (1)
On solutions of nonautonomous linear delayed differential equations, which are defined and exponentially bounded for $t \longrightarrow -\infty $ (1971) (1)
Henstock-Kurzweil Integration (2000) (1)
Differential equations in classical form (2012) (0)
Elementary methods: averaging (2012) (0)
Elementary methods: internal resonance (2012) (0)
A convergence process as a source of discontinuities in the theory of differential equations (2012) (0)
${\cal L}$-INTEGRATION (2002) (0)
INTEGRABLE FUNCTIONS AND THEIR PRIMITIVES (2000) (0)
To the unreached eighties birthday of Prof. Dr. Vladimír Knichal, correspondent member of the Czechoslovak Academy of Sciences (1988) (0)
To the sixtieth anniversary of birthday of Professor Marko Švec, DrSc. (1980) (0)
A variant of Gronwall inequality (2012) (0)
Approximate solutions: boundedness (2012) (0)
${\cal M}$-INTEGRATION (2002) (0)
Functions $\psi _1, \psi _2$ (2012) (0)
On a continuous dependence on a parameter and certain generalizations in the theory of PDEs [Lecture] (1957) (0)
A class of Strong Kurzweil Henstock-integrable functions (2012) (0)
SEMINAR ON ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRATION THEORY Special session in honor of the 90th birthday of (2011) (0)
Kapitza’s pendulum and a related problem (2012) (0)
Existence of solutions of a class of generalized ordinary differential equations (2012) (0)
Strong Kurzweil Henstock-integration of functions of a pair of coupled variables (2012) (0)
Equadiff 7 : proceedings of the 7th Czechoslovak Conference on Differential Equations and their Applications held in Prague, 1989 (1990) (0)
${\cal S}$-INTEGRATION (2002) (0)
Communications. The Corresponding Member of the Czechoslovak Academy of Sciences Otakar Borůvka awarded the Klement Gottwald National Prize (1959) (0)
DIFFERENTIATION AND INTEGRATION (2002) (0)
A class of generalized ordinary differential equations with a restricted right hand side (2012) (0)
AN ABSTRACT SETTING WITH D COUNTABLE (2000) (0)
In memoriam Professor Jan Mařík (1920–1994) (1994) (0)
On the use of Hausdorff measure in arithmetics [Lecture] (1955) (0)
A class of Strong Riemann-integrable functions (2012) (0)
Integration and Strong Integration (2012) (0)
In memoriam Professor Vladimír Knichal (1975) (0)
BASIC CONCEPTS AND PROPERTIES OF ${\cal Y}$-INTEGRATION (2002) (0)
P AS A COMPLETE TOPOLOGICAL VECTOR SPACE (2000) (0)
Remembering Štefan Schwabik (2011) (0)
On a class of differential equations in classical form (2012) (0)
Seventieth birthday of Professor Vojtěch Jarník (1967) (0)
Seventieth Birthday of Academician Vojtěch Jarník (1967) (0)
Eight Papers on Differential Equations (1963) (0)
Approximate solutions: a Lipschitz condition (2012) (0)
AN AUXILIARY LOCALLY CONVEX SPACE (2002) (0)
Generalized differential equations: Strong Kurzweil Henstock solutions (2012) (0)
CONVERGENCE AND LOCALLY CONVEX SPACES (2002) (0)
Strong Riemann integration of functions of a pair of coupled variables (2012) (0)
AN EXTENSION OF THE CONCEPT OF ${\cal Y}$-INTEGRATION (2002) (0)
TOPOLOGICAL VECTOR SPACES TOLERANT TO Q-CONVERGENCE (2000) (0)
LOCALLY CONVEX TOPOLOGIES TOLERANT TO Q-CONVERGENCE (2000) (0)
${\cal R}$-INTEGRATION (2002) (0)
On equality of two integrals (2012) (0)
10:20-11:20 On Riemannian approach to integration 11:30-11:50 (2003) (0)
Conditions for integrability of certain equations (1971) (0)
Approximate solutions: convergence (2012) (0)
Generalized ordinary differential equations: Strong Riemann-solutions (concepts) (2012) (0)
GAUGES AND BOREL MEASURABILITY (2000) (0)
Strong Riemann solutions of generalized differential equations: a survey (2012) (0)

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What Schools Are Affiliated With Jaroslav Kurzweil?

Jaroslav Kurzweil is affiliated with the following schools:

Charles University