Collocation Methods for Volterra Integral and Related Functional Differential Equations PDF Download
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Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
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Publisher Description
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
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Book Description
Publisher Description
Author: Kenneth B. Hannsgen
Publisher: CRC Press
ISBN: 1000942317
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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: 9780824717216
Category : Mathematics
Languages : en
Pages : 356
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Book Description
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: 0444517863
Category : Mathematics
Languages : en
Pages : 369
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Book Description
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: G. Gripenberg
Publisher: Cambridge University Press
ISBN: 0521372895
Category : Mathematics
Languages : en
Pages : 727
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Book Description
This book looks at the theories of Volterra integral and functional equations.
Author: Klaus Schmitt
Publisher: Elsevier
ISBN: 1483272338
Category : Mathematics
Languages : en
Pages : 414
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Book Description
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: Burton
Publisher: Academic Press
ISBN: 0080956734
Category : Computers
Languages : en
Pages : 325
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Book Description
Volterra Integral and Differential Equations
Author: Kenneth B. Hannsgen
Publisher: CRC Press
ISBN: 9780824717216
Category : Mathematics
Languages : en
Pages : 352
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Book Description
Author: C. Corduneanu
Publisher: CRC Press
ISBN: 9789056991715
Category : Mathematics
Languages : en
Pages : 522
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Book Description
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: Hyun Woo Lee
Publisher:
ISBN:
Category : Integro-differential equations
Languages : en
Pages : 158
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Book Description