Download or read book Volterra Functions written by Alexander Apelblat and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Generalization of Volterra s Derivative of a Function of a Curve written by Charles Albert Fischer and published by . This book was released on 1913 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Volterra Adventures written by Joel H. Shapiro and published by American Mathematical Soc.. This book was released on 2018-06-14 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Download or read book Completeness Theorems and Characteristic Matrix Functions written by Marinus A. Kaashoek and published by Springer Nature. This book was released on 2022-06-13 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process.
Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Download or read book Integral Transforms and Volterra Functions written by Alexander Apelblat and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lectures on the Theory of Functions of Real Variables Point sets and proper integrals written by James Pierpont and published by . This book was released on 1912 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Theory of Functions of Real Variables written by James Pierpont and published by . This book was released on 1912 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2008-02-12 with total page 1143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Download or read book The Monist written by Paul Carus and published by . This book was released on 1921 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 2 and 5 include appendices.
Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-07-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Download or read book Volterra and Integral Equations of Vector Functions written by Martin Vath and published by CRC Press. This book was released on 2000-01-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Download or read book Analysis Now written by Gert K. Pedersen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.
Download or read book Volterra s Integral Equations of the Second Kind written by Griffith Conrad Evans and published by . This book was released on 1911 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Reports written by Tōhoku Daigaku and published by . This book was released on 1917 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Science Reports of the T hoku Imperial University written by and published by . This book was released on 1917 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mittag Leffler Functions Related Topics and Applications written by Rudolf Gorenflo and published by Springer. This book was released on 2014-10-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.
