Basic Topological Structures of Ordinary Differential Equations (Mathematics and Its Applications, 432) - Hardcover
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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- PublisherSpringer
- Publication date1998
- ISBN 10 0792349512
- ISBN 13 9780792349518
- BindingHardcover
- Number of pages536
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Basic Topological Structures of Ordinary Differential Equations (Mathematics and Its Applications) by Filippov, V.V. [Hardcover ]
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Basic Topological Structures of Ordinary Differential Equations (Mathematics and Its Applications, 432)
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Basic Topological Structures of Ordinary Differential Equations
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Basic Topological Structures of Ordinary Differential Equations
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 540 pp. Englisch. Seller Inventory # 9780792349518
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Basic Topological Structures of Ordinary Differential Equations
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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Seller Inventory # 5968382
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Basic Topological Structures of Ordinary Differential Equations
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780792349518
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Basic Topological Structures of Ordinary Differential Equations
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