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Generalized Ordinary Differential...(V5)

Generalized Ordinary Differential...(V5)

Hardcover

Series: Real Analysis, Book 5

General Mathematics

ISBN10: 9810212259
ISBN13: 9789810212254
Publisher: World Scientific Publishing Company
Published: Oct 11 1992
Pages: 392
Weight: 1.41
Height: 1.00 Width: 6.20 Depth: 8.50
Language: English

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.

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General Mathematics