Volterra Integral And Functional Equations PDF Download
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Author | : G. Gripenberg |
Publisher | : Cambridge University Press |
Total Pages | : 727 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0521372895 |
Download Volterra Integral and Functional Equations Book in PDF, ePub and Kindle
This book looks at the theories of Volterra integral and functional equations.
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 620 |
Release | : 2004-11-15 |
Genre | : Mathematics |
ISBN | : 9780521806152 |
Download Collocation Methods for Volterra Integral and Related Functional Differential Equations Book in PDF, ePub and Kindle
Publisher Description
Author | : Gustaf Gripenberg |
Publisher | : |
Total Pages | : 725 |
Release | : 2014-05-14 |
Genre | : Functional equations |
ISBN | : 9781107088054 |
Download Volterra Integral and Functional Equations Book in PDF, ePub and Kindle
This book looks at the theories of Volterra integral and functional equations.
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-01-20 |
Genre | : Mathematics |
ISBN | : 1107098726 |
Download Volterra Integral Equations Book in PDF, ePub and Kindle
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Author | : Ted A. Burton |
Publisher | : Elsevier |
Total Pages | : 369 |
Release | : 2005-04-01 |
Genre | : Mathematics |
ISBN | : 0080459552 |
Download Volterra Integral and Differential Equations Book in PDF, ePub and Kindle
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 | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-01-20 |
Genre | : Mathematics |
ISBN | : 1316982653 |
Download Volterra Integral Equations Book in PDF, ePub and Kindle
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 | : Burton |
Publisher | : Academic Press |
Total Pages | : 325 |
Release | : 1983-11-04 |
Genre | : Computers |
ISBN | : 0080956734 |
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Volterra Integral and Differential Equations
Author | : Kenneth B. Hannsgen |
Publisher | : CRC Press |
Total Pages | : 352 |
Release | : 2023-05-31 |
Genre | : Mathematics |
ISBN | : 1000942317 |
Download Volterra and Functional Differential Equations Book in PDF, ePub and Kindle
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 | : I. G. Petrovskii |
Publisher | : Courier Corporation |
Total Pages | : 142 |
Release | : 1996-09-01 |
Genre | : Mathematics |
ISBN | : 9780486697567 |
Download Lectures on the Theory of Integral Equations Book in PDF, ePub and Kindle
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 | : Matiur Rahman |
Publisher | : WIT Press |
Total Pages | : 385 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 1845641019 |
Download Integral Equations and Their Applications Book in PDF, ePub and Kindle
The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.