Generalized Ordinary Differential Equations S. Schwabik

ISBN: 9789810212254

Published: October 28th 1992

Hardcover

392 pages


Description

Generalized Ordinary Differential Equations  by  S. Schwabik

Generalized Ordinary Differential Equations by S. Schwabik
October 28th 1992 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 392 pages | ISBN: 9789810212254 | 3.20 Mb

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 ordinaryMoreThe 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. This book may be used for specialist undergraduate courses in mathematics or as a postgraduate text.



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