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Volterra And Functional Differential Equations
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Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner
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
Book Synopsis Volterra and Functional Differential Equations by : Kenneth B. Hannsgen
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.
Book Synopsis Volterra and Functional Differential Equations by : Kenneth B. Hannsgen
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.
Book Synopsis Volterra Integral and Differential Equations by : Ted A. Burton
Download or read book Volterra Integral and Differential Equations written by Ted A. Burton and published by Elsevier. This book was released on 2005-04-01 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
Book Synopsis Volterra Integral and Functional Equations by : G. Gripenberg
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.
Book Synopsis Delay and Functional Differential Equations and Their Applications by : Klaus Schmitt
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.
Book Synopsis Volterra Integral and Differential Equations by : Burton
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 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volterra Integral and Differential Equations
Book Synopsis Properties of Solutions of a Class of Volterra and Functional Differential Equations by : Hyun Woo Lee
Download or read book Properties of Solutions of a Class of Volterra and Functional Differential Equations written by Hyun Woo Lee and published by . This book was released on 1992 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Volterra Equations and Applications by : C. Corduneanu
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.
Book Synopsis Volterra and Functional Differential Equations by : Kenneth B. Hannsgen
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 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Qualitative Theory of Volterra Difference Equations by : Youssef N. Raffoul
Download or read book Qualitative Theory of Volterra Difference Equations written by Youssef N. Raffoul and published by Springer. This book was released on 2018-09-12 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout. This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.
Book Synopsis Numerical Methods for Volterra Functional Differential Equations by : Lucio Tavernini
Download or read book Numerical Methods for Volterra Functional Differential Equations written by Lucio Tavernini and published by . This book was released on 1969 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Functionals and of Integral and Integro-differential Equations by : Vito Volterra
Download or read book Theory of Functionals and of Integral and Integro-differential Equations written by Vito Volterra and published by . This book was released on 1959 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Volterra Integral Equations by : Hermann Brunner
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.
Book Synopsis Theory of Integro-Differential Equations by : V. Lakshmikantham
Download or read book Theory of Integro-Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 1995-03-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph investigates the theory and applications of Volterra integro-differential equations. Whilst covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications. This comprehensive work presents a unified framework to investigate the fundamental existence of theory, treats stability theory in terms of Lyapunov functions and functionals, develops the theory of integro-differential equations with impulse effects, and deals with linear evolution equations in abstract spaces. Various applications of integro-differential equations, such as population dynamics, nuclear reactors, viscoelasticity, wave propagation and engineering systems, are discussed, making this book indispensable for mathematicians and engineers alike.
Book Synopsis Volterra Integral Equations as Functional Differential Equations on Infinite Intervals by : Glenn F. Webb
Download or read book Volterra Integral Equations as Functional Differential Equations on Infinite Intervals written by Glenn F. Webb and published by . This book was released on 1976* with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Numerical Solution of Volterra Functional Differential Equations by Euler's Method by : Colin W. Cryer
Download or read book The Numerical Solution of Volterra Functional Differential Equations by Euler's Method written by Colin W. Cryer and published by . This book was released on 1969 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two methods are developed for numerically solving the Cauchy problem for Volterra functional equations; these methods are generalizations of the methods of Euler and Heun for ordinary differential equations. It is proved that these methods converge and a numerical example is given. (Author).
