Volterra Functions
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Integral Transforms And Volterra Functions
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Author : Alexander Apelblat
language : en
Publisher:
Release Date : 2010
Integral Transforms And Volterra Functions written by Alexander Apelblat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Integral transforms categories.
The Volterra functions appeared at the beginning of the second decade of the twentieth century in the theory of definite integrals, integral equations and prime numbers in the works of famous mathematicians Srinivasa Ramanujan, Jacques Touchard, Vito Volterra and Edmund Landau. However, between 1943-1953, the Volterra functions started to play an important role also in the investigations of a number of French mathematicians because they found that these functions are the direct and inverse transforms in the laplace transformation of some elementary and special functions. This book examines both integral equations and Volterra functions in detail and highlights the important roles that each of these functions perform.
Volterra And Integral Equations Of Vector Functions
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Author : Martin Vath
language : en
Publisher: CRC Press
Release Date : 2000-01-03
Volterra And Integral Equations Of Vector Functions written by Martin Vath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-03 with Mathematics categories.
"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."
Volterra Functions
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Author : Alexander Apelblat
language : en
Publisher:
Release Date : 2008
Volterra Functions written by Alexander Apelblat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Integral transforms categories.
This book will serve as a reference book that contains a comprehensive list of formulas for the first time, tables of the Volterra functions. It also includes critically evaluated older material on the functions, but many new results that were obtained by the author. These results include: the behaviour of the Volterra Functions as a function of parameters, the integral representations of the functions, many new Laplace and other-one-dimensional and two-dimensional integral transforms, integrals and series as well as extensive numerical computations that are presented in graphical and tabular forms.
Volterra Stieltjes Integral Equations And Generalized Ordinary Differential Expressions
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Author : A.B. Mingarelli
language : en
Publisher: Springer
Release Date : 2006-11-15
Volterra Stieltjes Integral Equations And Generalized Ordinary Differential Expressions written by A.B. Mingarelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Volterra Integral Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-20
Volterra Integral Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-20 with Mathematics categories.
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Volterra And Integral Equations Of Vector Functions
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Author : Martin Väth
language : en
Publisher:
Release Date : 1998
Volterra And Integral Equations Of Vector Functions written by Martin Väth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Parabolicity Volterra Calculus And Conical Singularities
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Author : Sergio Albeverio
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Parabolicity Volterra Calculus And Conical Singularities written by Sergio Albeverio and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Partial differential equations constitute an integral part of mathematics. They lie at the interface of areas as diverse as differential geometry, functional analysis, or the theory of Lie groups and have numerous applications in the applied sciences. A wealth of methods has been devised for their analysis. Over the past decades, operator algebras in connection with ideas and structures from geometry, topology, and theoretical physics have contributed a large variety of particularly useful tools. One typical example is the analysis on singular configurations, where elliptic equations have been studied successfully within the framework of operator algebras with symbolic structures adapted to the geometry of the underlying space. More recently, these techniques have proven to be useful also for studying parabolic and hyperbolic equations. Moreover, it turned out that many seemingly smooth, noncompact situations can be handled with the ideas from singular analysis. The three papers at the beginning of this volume highlight this aspect. They deal with parabolic equations, a topic relevant for many applications. The first article prepares the ground by presenting a calculus for pseudo differential operators with an anisotropic analytic parameter. In the subsequent paper, an algebra of Mellin operators on the infinite space-time cylinder is constructed. It is shown how timelike infinity can be treated as a conical singularity.
Volterra Integral And Differential Equations
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Author : Burton
language : en
Publisher: Academic Press
Release Date : 1983-11-04
Volterra Integral And Differential Equations written by Burton and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-11-04 with Computers categories.
Volterra Integral and Differential Equations
Volterra Integral And Differential Equations
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Author : Theodore Allen Burton
language : en
Publisher: Elsevier
Release Date : 2005-05-21
Volterra Integral And Differential Equations written by Theodore Allen Burton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-21 with Mathematics categories.
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
Volterra Integral Equations Using Non Polynomial Spline Functions
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Author : Sarah Alkhalidi
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-06-16
Volterra Integral Equations Using Non Polynomial Spline Functions written by Sarah Alkhalidi and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-16 with categories.
This book attempts to study and modify some numerical methods to solve two types of linear Volterra integral equations of the second kind which are: Linear Volterra integral equations (VIE's) . Linear Volterra integral equations with weakly Singular kernel. Two different kinds of non-polynomial spline functions including (Linear and Quadratic) have been applied for the first time to treat the above problem. Also, Linear Volterra integral equations of the first kind are reduced to VIE's of the second kind and therefore we treat them numerically in the same way. Moreover, fourteen examples are presented to demonstrate the applicability, accuracy and efficiency of the method on one hand and to confirm the convergence order on the other hand. Also, convergence analysis of the method is discussed. Finally, at the end of each method we give algorithms and programs are developed and written in MATLAB\ R12, 2012.