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Basic Topological Structures of Ordinary Differential Equations

Name: Basic Topological Structures of Ordinary Differential Equations
Brand: Springer Netherlands
SKU: 06937120
Price: 102.17 EUR
Availability: InStock
Author: V. V. Filippov
ISBN: 9789048149957

V. V. Filippov

Language

English

Book Paperback

Libristo code: 06937120

Publishers Springer Netherlands, October 2010

The aim of this book is a detailed study of topological effects related to continuity of the depende... Full description

Libristo code: 06937120

249 b

102.17 €

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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.