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Author : Paul R. Beesack
Publisher :
Page : 59 pages
File Size : 36,75 MB
Release : 1984
Category : Volterra equations
ISBN :
Author : B.G. Pachpatte
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 38,96 MB
Release : 2011-07-26
Category : Mathematics
ISBN : 9491216171
Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Author : I. G. Petrovskii
Publisher : Courier Corporation
Page : 142 pages
File Size : 36,14 MB
Release : 1996-09-01
Category : Mathematics
ISBN : 9780486697567
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 : F. G. Tricomi
Publisher : Courier Corporation
Page : 256 pages
File Size : 24,46 MB
Release : 2012-04-27
Category : Mathematics
ISBN : 0486158306
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 : Svetlin G. Georgiev
Publisher : Springer
Page : 403 pages
File Size : 16,46 MB
Release : 2016-10-30
Category : Mathematics
ISBN : 9462392285
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 : Griffith Conrad Evans
Publisher :
Page : 56 pages
File Size : 44,15 MB
Release : 1911
Category : Integral equations
ISBN :
Author : Hermann Brunner
Publisher : Cambridge University Press
Page : 405 pages
File Size : 15,95 MB
Release : 2017-01-20
Category : Mathematics
ISBN : 1316982653
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
Page : 522 pages
File Size : 50,27 MB
Release : 2000-01-10
Category : Mathematics
ISBN : 9789056991715
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 : Richard K. Miller
Publisher : American Mathematical Soc.
Page : 74 pages
File Size : 17,83 MB
Release : 1970
Category : Compact spaces
ISBN : 0821818023
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 : B. L. Moiseiwitsch
Publisher : Courier Corporation
Page : 181 pages
File Size : 37,32 MB
Release : 2011-11-30
Category : Mathematics
ISBN : 048615212X
This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.