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Item Details
Title: VOLTERRA INTEGRAL AND DIFFERENTIAL EQUATIONS
Volume: Volume 202
By: Ted Burton, Charles K. Chui
Format: Hardback

List price: £135.00


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ISBN 10: 0444517863
ISBN 13: 9780444517869
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Pub. date: 1 April, 2005
Edition: 2nd edition
Series: Mathematics in Science & Engineering
Pages: 368
Description: Most mathematicians, engineers, and scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framework. It includes a collection of examples of Liapunov functions.
Synopsis: Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated.
Publication: UK
Imprint: Elsevier Science Ltd
Returns: Non-returnable
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