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Author : G. Gripenberg
Publisher : Cambridge University Press
Page : 727 pages
File Size : 47,97 MB
Release : 1990
Category : Mathematics
ISBN : 0521372895
This book looks at the theories of Volterra integral and functional equations.
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 620 pages
File Size : 26,98 MB
Release : 2004-11-15
Category : Mathematics
ISBN : 9780521806152
Publisher Description
Author : Gustaf Gripenberg
Publisher :
Page : 725 pages
File Size : 42,15 MB
Release : 2014-05-14
Category : Functional equations
ISBN : 9781107088054
This book looks at the theories of Volterra integral and functional equations.
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 28,30 MB
Release : 2017-01-20
Category : Mathematics
ISBN : 1107098726
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Author : Ted A. Burton
Publisher : Elsevier
Page : 369 pages
File Size : 32,70 MB
Release : 2005-04-01
Category : Mathematics
ISBN : 0080459552
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. Smooth transition from ordinary differential equations to integral and functional differential equations Unification of the theories, methods, and applications of ordinary and functional differential equations Large collection of examples of Liapunov functions Description of the history of stability theory leading up to unsolved problems Applications of the resolvent to stability and periodic problems
Author : Burton
Publisher : Academic Press
Page : 325 pages
File Size : 25,95 MB
Release : 1983-11-04
Category : Computers
ISBN : 0080956734
Volterra Integral and Differential Equations
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 35,35 MB
Release : 2017-01-20
Category : Mathematics
ISBN : 1316982653
This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
Author : I. G. Petrovskii
Publisher : Courier Corporation
Page : 142 pages
File Size : 30,23 MB
Release : 1996-09-01
Category : Mathematics
ISBN : 9780486697567
Simple, clear exposition of the Fredholm theory for integral equations of the second kind of Fredholm type. A brief treatment of the Volterra equation is also included. An outstanding feature is a table comparing finite dimensional spaces to function spaces. ". . . An excellent presentation."—Am. Math. Monthly. Translated from second revised (1951) Russian edition. Bibliography.
Author : Kenneth B. Hannsgen
Publisher : CRC Press
Page : 352 pages
File Size : 13,13 MB
Release : 2023-05-31
Category : Mathematics
ISBN : 1000942317
This book contains twenty four papers, presented at the conference on Volterra and Functional Differential Equations held in Virginia in 1981, on various topics, including Liapunov stability, Volterra equations, integral equations, and functional differential equations.
Author : Kenneth B. Hannsgen
Publisher : CRC Press
Page : 356 pages
File Size : 27,32 MB
Release : 1982-10-25
Category : Mathematics
ISBN : 9780824717216
This book contains twenty four papers, presented at the conference on Volterra and Functional Differential Equations held in Virginia in 1981, on various topics, including Liapunov stability, Volterra equations, integral equations, and functional differential equations.