Techniques of Functional Analysis for Differential and Integral Equations

Written By Paul Sacks
Techniques of Functional Analysis for Differential and Integral Equations
  • Publsiher : Academic Press
  • Release : 16 May 2017
  • ISBN : 0128114576
  • Pages : 320 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Techniques of Functional Analysis for Differential and Integral Equations written by Paul Sacks which was release on 16 May 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. 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

Techniques of Functional Analysis for Differential and Integral Equations

Techniques of Functional Analysis for Differential and Integral Equations
  • Author : Paul Sacks
  • Publisher : Academic Press
  • Release Date : 2017-05-16
  • Total pages : 320
  • ISBN : 0128114576
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Summary : 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 ...

Integral Equations

Integral Equations
  • Author : Wolfgang Hackbusch
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Total pages : 362
  • ISBN : 0128114576
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Summary : The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into ...

Special Functions and Analysis of Differential Equations

Special Functions and Analysis of Differential Equations
  • Author : Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky
  • Publisher : CRC Press
  • Release Date : 2020-09-08
  • Total pages : 354
  • ISBN : 0128114576
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Summary : Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of ...

Stationary Oscillations of Elastic Plates

Stationary Oscillations of Elastic Plates
  • Author : Gavin R. Thomson,Christian Constanda
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-06-28
  • Total pages : 230
  • ISBN : 0128114576
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Summary : Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce ...

Green s Functions and Boundary Value Problems

Green s Functions and Boundary Value Problems
  • Author : Ivar Stakgold,Michael J. Holst
  • Publisher : John Wiley & Sons
  • Release Date : 2011-03-01
  • Total pages : 736
  • ISBN : 0128114576
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Summary : Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now ...

Functional Analysis and Numerical Mathematics

Functional Analysis and Numerical Mathematics
  • Author : Lothar Collatz
  • Publisher : Academic Press
  • Release Date : 2014-05-12
  • Total pages : 494
  • ISBN : 0128114576
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Summary : Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector ...

History of Functional Analysis

History of Functional Analysis
  • Author : J. Dieudonne
  • Publisher : Elsevier
  • Release Date : 1983-01-01
  • Total pages : 311
  • ISBN : 0128114576
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Summary : History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections ...

Recent Advances in Integral Equations

Recent Advances in Integral Equations
  • Author : Francisco Bulnes
  • Publisher : BoD – Books on Demand
  • Release Date : 2019-07-24
  • Total pages : 100
  • ISBN : 0128114576
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Summary : Integral equations are functional equations in which an unknown function appears under an integral sign. This can involve aspects of function theory and their integral transforms when the unknown function appears with a functional non-degenerated kernel under the integral sign. The close relation between differential and integral equations does that ...

Linear Integral Equations

Linear Integral Equations
  • Author : Rainer Kress
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-04
  • Total pages : 412
  • ISBN : 0128114576
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Summary : This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. ...

Functional Integration and Partial Differential Equations

Functional Integration and Partial Differential Equations
  • Author : Mark Iosifovich Freidlin
  • Publisher : Princeton University Press
  • Release Date : 1985-08-21
  • Total pages : 545
  • ISBN : 0128114576
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Summary : "This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory. It is intended not only for specialists in partial differential equations or probability theory but also for specialists in asymptotic methods and in functional analysis. It is also of interest to physicists ...

Theoretical Numerical Analysis

Theoretical Numerical Analysis
  • Author : Kendall Atkinson,Weimin Han
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-06-07
  • Total pages : 576
  • ISBN : 0128114576
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Summary : Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, ...

Theory and Applications of Some New Classes of Integral Equations

Theory and Applications of Some New Classes of Integral Equations
  • Author : Alexander G. Ramm
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 344
  • ISBN : 0128114576
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Summary : This book is intended for &tudents, research engineers, and mathematicians interested in applications or numerical analysis. Pure analysts will also find some new problems to tackle. Most of the material can be understood by a reader with a relatively modest knowledge of differential and inte gral equations and functional analysis. ...

Computational Functional Analysis

Computational Functional Analysis
  • Author : Ramon E Moore,Michael J Cloud
  • Publisher : Elsevier
  • Release Date : 2007-06-01
  • Total pages : 212
  • ISBN : 0128114576
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Summary : This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces ...

Computational Methods for Integral Equations

Computational Methods for Integral Equations
  • Author : L. M. Delves,J. L. Mohamed
  • Publisher : CUP Archive
  • Release Date : 1988-03-31
  • Total pages : 376
  • ISBN : 0128114576
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Summary : This textbook provides a readable account of techniques for numerical solutions....

The Maz ya Anniversary Collection

The Maz   ya Anniversary Collection
  • Author : Jürgen Rossmann,Peter Takac,Günther Wildenhain
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Total pages : 364
  • ISBN : 0128114576
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Summary : The contributions in this volume are dedicated to Vladimir G. Maz'ya and are par tially based on talks given at the conference "Functional Analysis, Partial Differ ential Equations, and Applications", which took place at the University of Rostock from August 31 to September 4, 1998, to honour Prof. Maz'ya. This conference (a satellite ...