ENGLISH

Basic topological structures of ordinary differential equations

By V V Filippov

Book information

Publisher
Springer, Kluwer Academic Publishers
Year
1998
ISBN
0792349512, 9780792349518
Language
english
Format
DJVU
Filesize
4 MB (4135509 bytes)
Series
Mathematics and its applications (Kluwer Academic Publishers), v. 432
Pages
xiv, 516 p. ; 25 cm\537
Library
kolxo3
DPI
600
Time added
2014-11-04 21:00:00

Description

Traditionally, equations with discontinuities in space variables follow the ideology of the `sliding mode'. This book contains the first account of the theory which allows the consideration of exact solutions for such equations. The difference between the two approaches is illustrated by scalar equations of the type y¿=f(y) and by equations arising under the synthesis of optimal control. A detailed study of topological effects related to limit passages in ordinary differential equations widens the theory for the case of equations with continuous right-hand sides, and makes it possible to work easily with equations with complicated discontinuities in their right-hand sides and with differential inclusions. Audience: This volume will be of interest to graduate students and researchers whose work involves ordinary differential equations, functional analysis and general topology

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