Collectively Compact Operator Approximation Theory And Applications To Integral Equations
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Collectively Compact Operator Approximation Theory And Applications To Integral Equations
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Author : Philip M. Anselone
language : en
Publisher:
Release Date : 1971
Collectively Compact Operator Approximation Theory And Applications To Integral Equations written by Philip M. Anselone and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Approximation theory categories.
Collectively Compact Operator Approximation Theory And Applications To Integral Equations
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Author : Philip M. Anselone
language : en
Publisher: Prentice Hall
Release Date : 1971
Collectively Compact Operator Approximation Theory And Applications To Integral Equations written by Philip M. Anselone and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 1988
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Limit Operators Collective Compactness And The Spectral Theory Of Infinite Matrices
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Author : Simon N. Chandler-Wilde
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Limit Operators Collective Compactness And The Spectral Theory Of Infinite Matrices written by Simon N. Chandler-Wilde and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In the first half of this memoir the authors explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the generalised collectively compact operator theory introduced by Chandler-Wilde and Zhang (2002). They build up to results obtained by applying this generalised collectively compact operator theory to the set of limit operators of an operator $A$ (its operator spectrum). In the second half of this memoir the authors study bounded linear operators on the generalised sequence space $\ell^p(\mathbb{Z}^N,U)$, where $p\in [1,\infty]$ and $U$ is some complex Banach space. They make what seems to be a more complete study than hitherto of the connections between Fredholmness, invertibility, invertibility at infinity, and invertibility or injectivity of the set of limit operators, with some emphasis on the case when the operator $A$ is a locally compact perturbation of the identity. Especially, they obtain stronger results than previously known for the subtle limiting cases of $p=1$ and $\infty$.
Basic Classes Of Linear Operators
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Author : Israel Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Basic Classes Of Linear Operators written by Israel Gohberg 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.
A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.
Partial Integral Operators And Integro Differential Equations
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Author : Jurgen Appell
language : en
Publisher: CRC Press
Release Date : 2000-02-29
Partial Integral Operators And Integro Differential Equations written by Jurgen Appell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-29 with Mathematics categories.
A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linea
Nonlinear Phenomena In Mathematical Sciences
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Author : V. Lakshmikantham
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Nonlinear Phenomena In Mathematical Sciences written by V. Lakshmikantham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.
Linear Operator Equations
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Author : M. Thamban Nair
language : en
Publisher: World Scientific
Release Date : 2009
Linear Operator Equations written by M. Thamban Nair and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Multiscale Methods For Fredholm Integral Equations
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Author : Zhongying Chen
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-16
Multiscale Methods For Fredholm Integral Equations written by Zhongying Chen 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 2015-07-16 with Mathematics categories.
Presents the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.
Approximate Solutions Of Operator Equations
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Author : Mingjun Chen
language : en
Publisher: World Scientific
Release Date : 1997-07-01
Approximate Solutions Of Operator Equations written by Mingjun Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-01 with Mathematics categories.
This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence, stability and error estimates. The operator equations under investigation include various linear and nonlinear types of ordinary and partial differential equations, integral equations, and abstract evolution equations, which are frequently involved in applied mathematics and engineering applications. Each chapter contains well-selected examples and exercises, for the purposes of demonstrating the fundamental theories and methods developed in the text and familiarizing the reader with functional analysis techniques useful for numerical solutions of various operator equations. Contents:IntroductionOperator Equations and Their Approximate Solutions (I): Compact Linear OperatorsOperator Equations and Their Approximate solutions (II): Other Linear OperatorsTopological Degrees and Fixed Point EquationsNonlinear Monotone Operator Equations and Their Approximate SolutionsOperator Evolution Equations and Their Projective Approximate Solutions Readership: Applied mathematicians, mathematical physicists, numerical analysts and electrical & mechanical engineers. keywords:Operator Evolution Equation;Nonlinear Operator Equation;Monotone Operator;Projective Approximation;Least-Squares Algorithm;Topological Degree;Fixed Point Theorem