Generalized Inverse Operators And Fredholm Boundary Value Problems

DOWNLOAD

Download Generalized Inverse Operators And Fredholm Boundary Value Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Generalized Inverse Operators And Fredholm Boundary Value Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Generalized Inverse Operators

DOWNLOAD
Author : Alexander Andreevych Boichuk
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-08-22

Generalized Inverse Operators written by Alexander Andreevych Boichuk and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-22 with Mathematics categories.

The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time. With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction. For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers. For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents: Preliminary Information Generalized Inverse Operators in Banach Spaces Pseudoinverse Operators in Hilbert Spaces Boundary-Value Problems for Operator Equations Boundary-Value Problems for Systems of Ordinary Differential Equations Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations Solutions of Differential and Difference Systems Bounded on the Entire Real Axis

Generalized Inverse Operators And Fredholm Boundary Value Problems

DOWNLOAD
Author : A. A. Bojčuk
language : en
Publisher: Walter de Gruyter
Release Date : 2004-01-01

Generalized Inverse Operators And Fredholm Boundary Value Problems written by A. A. Bojčuk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with categories.

The authors of this monograph suggest some methods for the construction of the generalized inverse (or pseudo-inverse) operators for the original linear Fredholm operators in Banach (or Hilbert) spaces for boundary-value problems regarded as operator systems in abstract spaces. They also study basic properties of the generalized Green's operator.

Generalized Inverse Operators

DOWNLOAD
Author : Alexander Andreevych Boichuk
language : en
Publisher:
Release Date : 2016

Generalized Inverse Operators written by Alexander Andreevych Boichuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

Boundary Value Problems With Global Projection Conditions

DOWNLOAD
Author : Xiaochun Liu
language : en
Publisher: Birkhäuser
Release Date : 2018-10-30

Boundary Value Problems With Global Projection Conditions written by Xiaochun Liu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-30 with Mathematics categories.

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.

Advances In Functional Analysis And Operator Theory

DOWNLOAD
Author : Marat V. Markin
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-09

Advances In Functional Analysis And Operator Theory written by Marat V. Markin and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-09 with Mathematics categories.

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, $C^{*}$-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison–Singer transforms.

Mathematics Applied To Engineering Modelling And Social Issues

DOWNLOAD
Author : Frank T. Smith
language : en
Publisher: Springer
Release Date : 2019-03-14

Mathematics Applied To Engineering Modelling And Social Issues written by Frank T. Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Technology & Engineering categories.

This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.

Elliptic Boundary Value Problems In Domains With Point Singularities

DOWNLOAD
Author : Vladimir Kozlov
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Elliptic Boundary Value Problems In Domains With Point Singularities written by Vladimir Kozlov 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 1997 with Mathematics categories.

For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR

Algebraic And Algorithmic Aspects Of Differential And Integral Operators

DOWNLOAD
Author : Moulay Barkatou
language : en
Publisher: Springer
Release Date : 2014-02-25

Algebraic And Algorithmic Aspects Of Differential And Integral Operators written by Moulay Barkatou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-25 with Computers categories.

This book constitutes the proceedings of the 5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, AADIOS 2012, held at the Applications of Computer Algebra Conference in Sofia, Bulgaria, on June 25-28, 2012. The total of 9 papers presented in this volume consists of 2 invited papers and 7 regular papers which were carefully reviewed and selected from 13 submissions. The topics of interest are: symbolic computation for operator algebras, factorization of differential/integral operators, linear boundary problems and green's operators, initial value problems for differential equations, symbolic integration and differential galois theory, symbolic operator calculi, algorithmic D-module theory, rota-baxter algebra, differential algebra, as well as discrete analogs and software aspects of the above.

Boundary Value Problems Integral Equations And Related Problems Proceedings Of The International Conference

DOWNLOAD
Author : Guo Chun Wen
language : en
Publisher: World Scientific
Release Date : 2000-02-22

Boundary Value Problems Integral Equations And Related Problems Proceedings Of The International Conference written by Guo Chun Wen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-22 with Science categories.

In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

Analytic Semigroups And Semilinear Initial Boundary Value Problems

DOWNLOAD
Author : Kazuaki Taira
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-28

Analytic Semigroups And Semilinear Initial Boundary Value Problems written by Kazuaki Taira 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 2016-04-28 with Mathematics categories.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.