Generalized Ordinary Differential Equations
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A01=Stefan Schwabik
Author_Stefan Schwabik
Averaging
Category=PBKJ
Continuous Dependence
Emphatic Convergence
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Generalized Differential Equation
Generalized Perron Integral
Impulsive Differential Equation
Kurzweil Integral
Maesure Differential Equation
Product Integration
Variational Stability
Product details
- ISBN 9789810212254
- Publication Date: 01 Oct 1992
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
