Techniques of Functional Analysis for Differential and Integral Equations

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  • Author : Paul Sacks
  • Publisher : Academic Press
  • Pages : 320 pages
  • ISBN : 0128114576
  • Rating : /5 from reviews
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Download or Read online Techniques of Functional Analysis for Differential and Integral Equations full in PDF, ePub and kindle. this book written by Paul Sacks and published by Academic Press which was released on 16 May 2017 with total page 320 pages. We cannot guarantee that Techniques of Functional Analysis for Differential and Integral Equations book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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 : 16 May 2017
GET THIS BOOK Techniques of Functional Analysis for Differential and Integral Equations

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

Integral Equations

Integral Equations
  • Author : Wolfgang Hackbusch
  • Publisher : Birkhäuser
  • Release : 06 December 2012
GET THIS BOOK Integral Equations

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 integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of

Functional Analysis and Numerical Mathematics

Functional Analysis and Numerical Mathematics
  • Author : Lothar Collatz
  • Publisher : Academic Press
  • Release : 12 May 2014
GET THIS BOOK Functional Analysis and Numerical Mathematics

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 and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method

Theoretical Numerical Analysis

Theoretical Numerical Analysis
  • Author : Kendall Atkinson,Weimin Han
  • Publisher : Springer Science & Business Media
  • Release : 07 June 2007
GET THIS BOOK Theoretical Numerical Analysis

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, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical

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  • Author : Rainer Kress
  • Publisher : Springer
  • Release : 17 December 2013
GET THIS BOOK Linear Integral Equations

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. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at

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  • Author : Gavin R. Thomson,Christian Constanda
  • Publisher : Springer Science & Business Media
  • Release : 28 June 2011
GET THIS BOOK Stationary Oscillations of Elastic Plates

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 the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely

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  • Author : Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky
  • Publisher : CRC Press
  • Release : 08 September 2020
GET THIS BOOK Special Functions and Analysis of Differential Equations

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 fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new

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  • Author : Francisco Bulnes
  • Publisher : BoD – Books on Demand
  • Release : 24 July 2019
GET THIS BOOK Recent Advances in Integral Equations

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 in some functional analysis, and function theory problems may be formulated either way. This book establishes the fundamentals of integral equations and considers some deep research aspects on integral equations

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Green s Functions and Boundary Value Problems
  • Author : Ivar Stakgold,Michael J. Holst
  • Publisher : John Wiley & Sons
  • Release : 01 March 2011
GET THIS BOOK Green s Functions and Boundary Value Problems

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 featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use

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  • Author : Jürgen Rossmann,Peter Takac,Günther Wildenhain
  • Publisher : Birkhäuser
  • Release : 06 December 2012
GET THIS BOOK The Maz ya Anniversary Collection

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 meeting of the ICM) gave an opportunity to many friends and colleagues from all over the world to honour him. This academic community is very large. The scientific field of

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  • Author : Zhitao Zhang
  • Publisher : Springer Science & Business Media
  • Release : 18 September 2012
GET THIS BOOK Variational Topological and Partial Order Methods with Their Applications

Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to

History of Functional Analysis

History of Functional Analysis
  • Author : J. Dieudonne
  • Publisher : Elsevier
  • Release : 01 January 1983
GET THIS BOOK History of Functional Analysis

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 shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on

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  • Author : S.S. Kutateladze
  • Publisher : CRC Press
  • Release : 12 December 2010
GET THIS BOOK Applied Functional Analysis Approximation Methods and Computers

This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

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  • Author : E. Zeidler
  • Publisher : Springer Science & Business Media
  • Release : 21 November 2013
GET THIS BOOK Nonlinear Functional Analysis and its Applications

This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern

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Functional Analysis in Interdisciplinary Applications
  • Author : Tynysbek Sh. Kalmenov,Erlan D. Nursultanov,Michael V. Ruzhansky,Makhmud A. Sadybekov
  • Publisher : Springer
  • Release : 12 December 2017
GET THIS BOOK Functional Analysis in Interdisciplinary Applications

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; differential equations and boundary value problems; the relationship between differential equations, integral operators and spectral theory; and mathematical methods in physical sciences. Presenting a wide range of topics and results,