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Book synopsis

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

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Generalized Ordinary Differential Equations
• Author: S. Schwabik
• Language: English
• Binding: Hardback
• Number of pages: 392
• EAN: 9789810212254
• ISBN: 9810212259
• ID: 05064287
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 722 g
• Dimensions: 235 × 157 × 26 mm
• Date of publishing: 10. January 1992

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