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Książka Basic Topological Structures of Ordinary Differential Equations V. V. Filippov

Basic Topological Structures of Ordinary Differential Equations

Autor: V. V. Filippov
Język: Angielski
Oprawa: Twarda
Wydawca: Springer
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
434.14 zł
The aim of this book is a detailed study of topological effects related to continuity of the depende...

Informacje o książce

Autor
V. V. Filippov
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1998
strony
522
EAN
9780792349518
ISBN
0792349512
Enbook ID
02705380
Wydawca
Springer
Waga
986
Wymiary
168 x 248 x 37

Pełny opis

The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and Functional Analysis meet. In what concerns equations with discontinuities and differential inclu sions, we do not restrict the consideration to the Cauchy problem, but we show how to develop an advanced theory whose volume is commensurable with the volume of the existing theory of Ordinary Differential Equations. The level of the account rises in the book step by step from second year student to working scientist.

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