Stefan Schwabik's Books

Generalized Ordinary Differential Equations

By: Stefan Schwabik

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Generalized Ordinary Differential Equations

By: Stefan Schwabik

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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Page Count

400

Publisher

World Scientific

Published Date

ISBN 10

9814505048

ISBN 13

9789814505048

Topics In Banach Space Integration

By: Guoju Ye,Stefan Schwabik

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Topics In Banach Space Integration

By: Guoju Ye,Stefan Schwabik

The relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The Henstock-Kurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.

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Page Count

313

Publisher

World Scientific

Published Date

ISBN 10

9814479683

ISBN 13

9789814479684

Generalized Ordinary Differential Equations

By: Stefan Schwabik

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Generalized Ordinary Differential Equations

By: Stefan Schwabik

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

400

Publisher

World Scientific

Published Date

ISBN 10

9814505048

ISBN 13

9789814505048

Topics in Banach Space Integration

By: Stefan Schwabik,Guoju Ye

Write a review Read reviews Take a Quiz Solve Book Puzzle

Topics in Banach Space Integration

By: Stefan Schwabik,Guoju Ye

The relatively new concepts of the HenstockKurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The HenstockKurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.

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Solve jigsaw puzzle

Age

Page Count

316

Publisher

World Scientific

Published Date

ISBN 10

9812703284

ISBN 13

9789812703286

Book's by Stefan Schwabik

Generalized Ordinary Differential Equations

Generalized Ordinary Differential Equations

Topics In Banach Space Integration

Topics In Banach Space Integration

Generalized Ordinary Differential Equations

Generalized Ordinary Differential Equations

Topics in Banach Space Integration

Topics in Banach Space Integration

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