Volterra And Functional Differential Equations

Author : Hermann Brunner
Publisher : Cambridge University Press
ISBN 13 : 9780521806152
Total Pages : 620 pages
Book Rating : 4.51/5 ( download)

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Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Author : Kenneth B. Hannsgen
Publisher : CRC Press
ISBN 13 : 1000942317
Total Pages : 352 pages
Book Rating : 4.16/5 ( download)

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Download or read book Volterra and Functional Differential Equations written by Kenneth B. Hannsgen and published by CRC Press. This book was released on 2023-05-31 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9780824717216
Total Pages : 356 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Volterra and Functional Differential Equations written by Kenneth B. Hannsgen and published by CRC Press. This book was released on 1982-10-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Theodore Allen Burton
Publisher : Elsevier
ISBN 13 : 0444517863
Total Pages : 369 pages
Book Rating : 4.69/5 ( download)

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Download or read book Volterra Integral and Differential Equations written by Theodore Allen Burton and published by Elsevier. This book was released on 2005-05-21 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0080956734
Total Pages : 312 pages
Book Rating : 4.32/5 ( download)

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Download or read book Volterra Integral and Differential Equations written by Burton and published by Academic Press. This book was released on 1983-11-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volterra Integral and Differential Equations

Author : G. Gripenberg
Publisher : Cambridge University Press
ISBN 13 : 0521372895
Total Pages : 727 pages
Book Rating : 4.93/5 ( download)

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Download or read book Volterra Integral and Functional Equations written by G. Gripenberg and published by Cambridge University Press. This book was released on 1990 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at the theories of Volterra integral and functional equations.

Author : Klaus Schmitt
Publisher : Elsevier
ISBN 13 : 1483272338
Total Pages : 414 pages
Book Rating : 4.37/5 ( download)

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Download or read book Delay and Functional Differential Equations and Their Applications written by Klaus Schmitt and published by Elsevier. This book was released on 2014-05-10 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications. This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics, problems in physiology, and other areas of applications. Organized into two parts encompassing 25 chapters, this book begins with an overview of problems involving functional differential equations with terminal conditions in function spaces. This text then examines the numerical methods for functional differential equations. Other chapters consider the theory of radiative transfer, which give rise to several interesting functional partial differential equations. This book discusses as well the theory of embedding fields, which studies systems of nonlinear functional differential equations that can be derived from psychological postulates and interpreted as neural networks. The final chapter deals with the usefulness of the flip-flop circuit. This book is a valuable resource for mathematicians.

Author : C. Corduneanu
Publisher : CRC Press
ISBN 13 : 9789056991715
Total Pages : 522 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Volterra Equations and Applications written by C. Corduneanu and published by CRC Press. This book was released on 2000-01-10 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.

Author : Hermann Brunner
Publisher : Cambridge University Press
ISBN 13 : 1316982653
Total Pages : 405 pages
Book Rating : 4.55/5 ( download)

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Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : C. Corduneanu
Publisher : CRC Press
ISBN 13 : 020316637X
Total Pages : 185 pages
Book Rating : 4.76/5 ( download)

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Download or read book Functional Equations with Causal Operators written by C. Corduneanu and published by CRC Press. This book was released on 2002-09-05 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type. The basic theory of functional equations includes functional differential equations with cau