Topics In Differential And Integral Equations And Operator Theory

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Topics in Differential and Integral Equations and Operator Theory

Author : Krein
Publisher : Birkhäuser
ISBN 13 : 3034854161
Total Pages : 310 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Topics in Differential and Integral Equations and Operator Theory by : Krein

Download or read book Topics in Differential and Integral Equations and Operator Theory written by Krein and published by Birkhäuser. This book was released on 2013-11-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short self-contained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757.

Topics in Differential and Integral Equations and Operator Theory

Author : M. G. Krejn
Publisher :
ISBN 13 : 9780817615178
Total Pages : 312 pages
Book Rating : 4.6/5 (151 download)

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Book Synopsis Topics in Differential and Integral Equations and Operator Theory by : M. G. Krejn

Download or read book Topics in Differential and Integral Equations and Operator Theory written by M. G. Krejn and published by . This book was released on 1983-12 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Differential and Integral Equations

Author : C. Corduneanu
Publisher : American Mathematical Soc.
ISBN 13 : 0821846221
Total Pages : 205 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Principles of Differential and Integral Equations by : C. Corduneanu

Download or read book Principles of Differential and Integral Equations written by C. Corduneanu and published by American Mathematical Soc.. This book was released on 2008-05-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.

Techniques of Functional Analysis for Differential and Integral Equations

Author : Paul Sacks
Publisher : Academic Press
ISBN 13 : 0128114576
Total Pages : 322 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Techniques of Functional Analysis for Differential and Integral Equations by : Paul Sacks

Download or read book Techniques of Functional Analysis for Differential and Integral Equations written by Paul Sacks and published by Academic Press. This book was released on 2017-05-16 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

Topics in Integral and Integro-Differential Equations

Author : Harendra Singh
Publisher : Springer Nature
ISBN 13 : 3030655091
Total Pages : 255 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Topics in Integral and Integro-Differential Equations by : Harendra Singh

Download or read book Topics in Integral and Integro-Differential Equations written by Harendra Singh and published by Springer Nature. This book was released on 2021-04-16 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations

Operator Theory in Different Settings and Related Applications

Author : Roland Duduchava
Publisher : Birkhäuser
ISBN 13 : 3319625276
Total Pages : 309 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Operator Theory in Different Settings and Related Applications by : Roland Duduchava

Download or read book Operator Theory in Different Settings and Related Applications written by Roland Duduchava and published by Birkhäuser. This book was released on 2018-03-28 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations. The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.

Differential and Integral Operators

Author : Israel C. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034887892
Total Pages : 333 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Differential and Integral Operators by : Israel C. Gohberg

Download or read book Differential and Integral Operators written by Israel C. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This and the next volume of the OT series contain the proceedings of the Work shop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eigth workshop of this kind. Following is a list of the seven previous workshops with reference to their proceedings: 1981 Operator Theory (Santa Monica, California, USA) 1983 Applications of Linear Operator Theory to Systems and Networks (Rehovot, Israel), OT 12 1985 Operator Theory and its Applications (Amsterdam, The Netherlands), OT 19 1987 Operator Theory and Functional Analysis (Mesa, Arizona, USA), OT 35 1989 Matrix and Operator Theory (Rotterdam, The Netherlands), OT 50 1991 Operator Theory and Complex Analysis (Sapporo, Japan), OT 59 1993 Operator Theory and Boundary Eigenvalue Problems (Vienna, Austria), OT 80 IWOTA 95 offered a rich programme on a wide range of latest developments in operator theory and its applications. The programme consisted of 6 invited plenary lectures, 54 invited special topic lectures and more than 100 invited session talks. About 180 participants from 25 countries attended the workshop, more than a third came from Eastern Europe. The conference covered different aspects of linear and nonlinear spectral prob lems, starting with problems for abstract operators up to spectral theory of ordi nary and partial differential operators, pseudodifferential operators, and integral operators. The workshop was also focussed on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems.

Lectures on Differential and Integral Equations

Author : K?saku Yoshida
Publisher : Courier Corporation
ISBN 13 : 9780486666792
Total Pages : 242 pages
Book Rating : 4.6/5 (667 download)

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Book Synopsis Lectures on Differential and Integral Equations by : K?saku Yoshida

Download or read book Lectures on Differential and Integral Equations written by K?saku Yoshida and published by Courier Corporation. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

Partial Differential and Integral Equations

Author : Heinrich Begehr
Publisher : Springer Science & Business Media
ISBN 13 : 9780792354826
Total Pages : 388 pages
Book Rating : 4.3/5 (548 download)

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Book Synopsis Partial Differential and Integral Equations by : Heinrich Begehr

Download or read book Partial Differential and Integral Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.

Partial Integral Operators and Integro-Differential Equations

Author : Jurgen Appell
Publisher : CRC Press
ISBN 13 : 9780824703967
Total Pages : 582 pages
Book Rating : 4.7/5 (39 download)

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Book Synopsis Partial Integral Operators and Integro-Differential Equations by : Jurgen Appell

Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 linear and nonlinear equations is discussed. Topics range from abstract functional-analytic approaches to specific uses in continuum mechanics and engineering.

Systems, Approximation, Singular Integral Operators, and Related Topics

Author : Alexander A. Borichev
Publisher : Birkhäuser
ISBN 13 : 3034883625
Total Pages : 536 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Systems, Approximation, Singular Integral Operators, and Related Topics by : Alexander A. Borichev

Download or read book Systems, Approximation, Singular Integral Operators, and Related Topics written by Alexander A. Borichev and published by Birkhäuser. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.

Topics in Differential and Integral Equations and Operator Theory

Author : Mark Grigorʹevich Kreĭn
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Topics in Differential and Integral Equations and Operator Theory by : Mark Grigorʹevich Kreĭn

Download or read book Topics in Differential and Integral Equations and Operator Theory written by Mark Grigorʹevich Kreĭn and published by Birkhäuser. This book was released on 1983 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short self-contained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757.

Recent Progress in Operator Theory and Its Applications

Author : Joseph A. Ball
Publisher : Birkhäuser
ISBN 13 : 9783034803458
Total Pages : 346 pages
Book Rating : 4.8/5 (34 download)

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Book Synopsis Recent Progress in Operator Theory and Its Applications by : Joseph A. Ball

Download or read book Recent Progress in Operator Theory and Its Applications written by Joseph A. Ball and published by Birkhäuser. This book was released on 2012-02-26 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.

Differential Operators and Related Topics

Author : V.M. Adamyan
Publisher : Birkhäuser
ISBN 13 : 3034884036
Total Pages : 418 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Differential Operators and Related Topics by : V.M. Adamyan

Download or read book Differential Operators and Related Topics written by V.M. Adamyan and published by Birkhäuser. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is the first of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The confer encefocused onthemain ideas, methods, results, andachievementsofM.G. Krein. This first volume is devoted to the theory of differential operators and related topics. It opens with a description of the conference, biographical material and a number of survey papers about the work of M.G. Krein. The main part of the book consists oforiginal research papers presenting the stateofthe art in the area ofdifferential operators. The second volume of these proceedings, entitled Operator Theory and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface............................................................. v Table of Contents VII Picture of M.G. Krein Xl About the Mark Krein International Conference . Mark Grigorevich Krein (A short biography) 5 I. Gohberg The Seminar on Ship Hydrodynamics, Organized by M.G. Krein 9 v.G. Sizov Review Papers: The Works ofM.G. Krein on Eigenfunction Expansion for Selfadjoint Operators and their Applications and Development 21 Yu.M. Berezansky M.G. Krein and the Extension Theory of Symmetric Operators.

Methods in Nonlinear Integral Equations

Author : R Precup
Publisher : Springer Science & Business Media
ISBN 13 : 9401599866
Total Pages : 221 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Methods in Nonlinear Integral Equations by : R Precup

Download or read book Methods in Nonlinear Integral Equations written by R Precup and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Applications of q-Calculus in Operator Theory

Author : Ali Aral
Publisher : Springer Science & Business Media
ISBN 13 : 1461469465
Total Pages : 275 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Applications of q-Calculus in Operator Theory by : Ali Aral

Download or read book Applications of q-Calculus in Operator Theory written by Ali Aral and published by Springer Science & Business Media. This book was released on 2013-05-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.

Integral Equations: A Practical Treatment, from Spectral Theory to Applications

Author : David Porter
Publisher : Cambridge University Press
ISBN 13 : 9780521337427
Total Pages : 388 pages
Book Rating : 4.3/5 (374 download)

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Book Synopsis Integral Equations: A Practical Treatment, from Spectral Theory to Applications by : David Porter

Download or read book Integral Equations: A Practical Treatment, from Spectral Theory to Applications written by David Porter and published by Cambridge University Press. This book was released on 1990-09-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.