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Author : Glenn F. Webb
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (241 download)
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:
Author : R.P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 9401007187
Total Pages : 350 pages
Book Rating : 4.4/5 (1 download)
Download or read book Infinite Interval Problems for Differential, Difference and Integral Equations written by R.P. Agarwal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature.
Author : Burton
Publisher : Academic Press
ISBN 13 : 0080956734
Total Pages : 325 pages
Book Rating : 4.0/5 (89 download)
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
Author : G. Gripenberg
Publisher : Cambridge University Press
ISBN 13 : 0521372895
Total Pages : 727 pages
Book Rating : 4.5/5 (213 download)
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 : Jirō Kondō
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.X/5 (3 download)
Download or read book Integral Equations written by Jirō Kondō and published by Oxford University Press, USA. This book was released on 1991 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral equations arise in a very wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and it simultaneously provides a unified treatment of the theory together with a description of the range of methods for their solution. Professor Kondo's wide experience in science and engineering ensures that the many applications presented here are both up-to-date and relevant to current problems. Throughout, a wide selection of exercises will help further a student's understanding of the subject as well as give them a familiarity with the most important methods of solution. Consequently, this book will be ideal for final year undergraduates and postgraduates studying integral equations for the first time. All the main classes of integral equations are covered, including Volterra, Fredholm, and nonlinear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.
Author : Vito Volterra
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)
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:
Author : C. Corduneanu
Publisher : CRC Press
ISBN 13 : 9789056991715
Total Pages : 522 pages
Book Rating : 4.9/5 (917 download)
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 : 4.3/5 (169 download)
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 : F. G. Tricomi
Publisher : Courier Corporation
ISBN 13 : 0486158306
Total Pages : 256 pages
Book Rating : 4.4/5 (861 download)
Download or read book Integral Equations written by F. G. Tricomi and published by Courier Corporation. This book was released on 2012-04-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.
Author : Matiur Rahman
Publisher : WIT Press
ISBN 13 : 1845641019
Total Pages : 385 pages
Book Rating : 4.8/5 (456 download)
Download or read book Integral Equations and Their Applications written by Matiur Rahman and published by WIT Press. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Svetlin G. Georgiev
Publisher : Springer
ISBN 13 : 9462392285
Total Pages : 403 pages
Book Rating : 4.4/5 (623 download)
Download or read book Integral Equations on Time Scales written by Svetlin G. Georgiev and published by Springer. This book was released on 2016-10-30 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.
Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Survey of Methods for the Inversion of Integrals of Volterra Type written by Harold Thayer Davis and published by . This book was released on 1927 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard K. Miller
Publisher : American Mathematical Soc.
ISBN 13 : 0821818023
Total Pages : 74 pages
Book Rating : 4.8/5 (218 download)
Download or read book Volterra Integral Equations and Topological Dynamics written by Richard K. Miller and published by American Mathematical Soc.. This book was released on 1970 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to show how Volterra integral equations may be studied within the framework of the theory of topological dynamics. Part I contains the basic theory, as local dynamical systems are discussed together with some of their elementary properties. The notation of compatible pairs of function spaces is introduced. Part II contains examples of compatible pairs, as these spaces are studied in some detail. Part III contains some applications of the first two parts.
Author : Kenneth B. Hannsgen
Publisher :
ISBN 13 : 9781003420026
Total Pages : 0 pages
Book Rating : 4.4/5 (2 download)
Download or read book Volterra and Functional Differential Equations written by Kenneth B. Hannsgen and published by . This book was released on 2023 with total page 0 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 : C. Corduneanu
Publisher : Cambridge University Press
ISBN 13 : 9780521091909
Total Pages : 0 pages
Book Rating : 4.0/5 (919 download)
Download or read book Integral Equations and Applications written by C. Corduneanu and published by Cambridge University Press. This book was released on 2008-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.
Author : Ram P. Kanwal
Publisher : Academic Press
ISBN 13 : 1483262502
Total Pages : 311 pages
Book Rating : 4.4/5 (832 download)
Download or read book Linear Integral Equations written by Ram P. Kanwal and published by Academic Press. This book was released on 2014-05-10 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Integral Equations: Theory and Technique is an 11-chapter text that covers the theoretical and methodological aspects of linear integral equations. After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive approximations. The next chapters explore the properties of classical Fredholm theory and the applications of linear integral equations to ordinary and partial differential equations. These topics are followed by discussions of the symmetric kernels, singular integral equations, and the integral transform methods. The final chapters consider the applications of linear integral equations to mixed boundary value problems. These chapters also look into the integral equation perturbation methods. This book will be of value to undergraduate and graduate students in applied mathematics, theoretical mechanics, and mathematical physics.
Author : Tofigh Allahviranloo
Publisher : Springer Nature
ISBN 13 : 3030853500
Total Pages : 222 pages
Book Rating : 4.0/5 (38 download)
Download or read book A Course on Integral Equations with Numerical Analysis written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2021-10-30 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.
