Background
Schwabik, Stefan was born on March 15, 1941 in Gelnica, Slovakia. Son of Stefan and Lenka (Flachbarth) Schwabik.
(The contemporary approach of J Kurzweil and R Henstock to...)
The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations.The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field.
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Schwabik, Stefan was born on March 15, 1941 in Gelnica, Slovakia. Son of Stefan and Lenka (Flachbarth) Schwabik.
Doctor Natural Sciences, Charles University, Prague, Czechoslovakia, 1968. Computer Sciences Corporation, Czech Academy of Sciences, Prague, 1977. Doctor of Science, Czech Republic Academy of Sciences, Prague, 1990.
Senior researcher Mathematics Institute, Czech Republic Academy of Sciences, since 1964. Member faculty Czech Technology University, Prague, 1964-1977. Member faculty Charles University, 1965-1995, associate professor, 1993-1995.
Visiting professor Institute of Mathematics and Statistics, University Sao Paulo, Brazil, 1988.
(The contemporary approach of J Kurzweil and R Henstock to...)
Fellow Union Czech Mathematicians and Physicists (vice president 1987-1990, 96-99), American Mathematics Society, European Mathematics Society.
Married Ludmila Vodicková, 1968. Children: Anna, January.