Basic Topological Structures of Ordinary Differential Equations: 432 (Mathematics and Its Applications) - Softcover

Filippov, V.V. V.

 
9789048149957: Basic Topological Structures of Ordinary Differential Equations: 432 (Mathematics and Its Applications)
Softcover
ISBN 10: 9048149959 ISBN 13: 9789048149957
Verlag: Springer, 2010

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048149959
ISBN 13 
9789048149957
Einband
Tapa blanda
Anzahl der Seiten
540
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9780792349518: Basic Topological Structures of Ordinary Differential Equations: 432 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  0792349512 ISBN 13:  9780792349518
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Hardcover