Basic Topological Structures of Ordinary Differential Equations

Name: Basic Topological Structures of Ordinary Differential Equations
Brand: Springer Netherlands
SKU: 9789048149957
Price: 551.7 RON
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Autor: V. V. Filippov

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Editura: Springer Netherlands

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

Informații despre carte

Autor

V. V. Filippov

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

522

EAN

9789048149957

ISBN

9048149959

Enbook ID

06937120

Editura

Springer Netherlands

Greutate

819

Dimensiuni

160 x 240 x 27

Descriere completă

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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Basic Topological Structures of Ordinary Differential Equations

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