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Basic Topological Structures of Ordinary Differential Equations
V.V. Filippov
€ 133.57
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Description for Basic Topological Structures of Ordinary Differential Equations
Hardcover. Traditionally, equations with discontinuities in space variables follow the ideology of the 'sliding mode'. This book presents an account of the theory which allows the consideration of exact solutions for such equations. Series: Mathematics and its Applications. Num Pages: 522 pages, 9 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 248 x 168 x 37. Weight in Grams: 986.
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, ... Read more
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, ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Kluwer Academic Publishers United States
Number of pages
536
Condition
New
Series
Mathematics and its Applications
Number of Pages
522
Place of Publication
Dordrecht, Netherlands
ISBN
9780792349518
SKU
V9780792349518
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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