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  • Generalized Ordinary Differential...(V5) by Schwabik S book cover
  • Generalized Ordinary Differential...(V5) by Schwabik S book cover
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Generalized Ordinary Differential...(V5)

by Schwabik S

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Generalized ordinary differential equations and integral methods

$148.79 USD
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Hardcover New English

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AlbakiReads Editorial

Generalized ordinary differential equations and integral methods

Schwabik connects the Kurzweil–Henstock approach to the Perron integral with the study of ordinary differential equations, emphasizing how solutions depend on parameters. The book defines a generalized integral through integral sums, then uses it to develop a theory of generalized differential equations. Its examples include equations with impulses and measure differential equations, while solutions are described as functions of bounded variation. The subject matter places the book at the intersection of integration theory and differential equations, with the integral framework serving as a tool for addressing equations beyond the standard setting.

Good fit for readers who enjoy

  • Undergraduate mathematics students taking a specialized course in differential equations or integration
  • Postgraduate students studying ordinary or generalized differential equations
  • Researchers interested in Perron-type integration and measure differential equations

Themes

Ordinary differential equationsPerron and Kurzweil–Henstock integrationContinuous dependence on parametersImpulsive and measure differential equationsFunctions of bounded variation

Based on publisher information and book metadata.

Book overview

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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