Basic Topological Structures of Ordinary Differential Equations - Couverture souple

Filippov, V.V. V.

 
9789048149957: Basic Topological Structures of Ordinary Differential Equations
Couverture souple
ISBN 10 : 9048149959 ISBN 13 : 9789048149957
Editeur : Springer, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
9048149959
ISBN 13 
9789048149957
Reliure
Broché
Nombre de pages
540
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780792349518: Basic Topological Structures of Ordinary Differential Equations

Edition présentée

ISBN 10 :  0792349512 ISBN 13 :  9780792349518
Editeur : Kluwer Academic Publishers, 1998
Couverture rigide