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 : /5 from reviews
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Download or read book entitled Techniques of Functional Analysis for Differential and Integral Equations by author: Paul Sacks which was release on 16 May 2017 and published by Academic Press with total page 320 pages . This book available in PDF, EPUB and Kindle Format. 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 ...

Approximation Methods for Solutions of Differential and Integral Equations

Approximation Methods for Solutions of Differential and Integral Equations
  • Author : V. K. Dzyadyk
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2018-11-05
  • Total pages : 329
  • ISBN : 0128114576
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Summary : This book is the result of 20 years of investigations carried out by the author and his colleagues in order to bring closer and, to a certain extent, synthesize a number of well-known results, ideas and methods from the theory of function approximation, theory of differential and integral equations and numerical ...

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 ...

Integral Equations Boundary Value Problems and Related Problems

Integral Equations  Boundary Value Problems and Related Problems
  • Author : Xing Li
  • Publisher : World Scientific
  • Release Date : 2013
  • Total pages : 285
  • ISBN : 0128114576
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Summary : In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and ...

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. ...

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 ...

Methods in Nonlinear Integral Equations

Methods in Nonlinear Integral Equations
  • Author : R Precup
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Total pages : 218
  • ISBN : 0128114576
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Summary : 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, ...

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 ...

Applied Functional Analysis

Applied Functional Analysis
  • Author : Abul Hasan Siddiqi
  • Publisher : CRC Press
  • Release Date : 2003-09-19
  • Total pages : 660
  • ISBN : 0128114576
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Summary : The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and n...

Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations
  • Author : Harold Thayer Davis
  • Publisher : Courier Corporation
  • Release Date : 1962-01-01
  • Total pages : 566
  • ISBN : 0128114576
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Summary : Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems....

Analysis of Approximation Methods for Differential and Integral Equations

Analysis of Approximation Methods for Differential and Integral Equations
  • Author : Hans-Jürgen Reinhardt
  • Publisher : Springer
  • Release Date : 1985-10-07
  • Total pages : 398
  • ISBN : 0128114576
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Summary : This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in ...

Integral Equations A Practical Treatment from Spectral Theory to Applications

Integral Equations  A Practical Treatment  from Spectral Theory to Applications
  • Author : David Porter,David S. G. Stirling,Porter David
  • Publisher : Cambridge University Press
  • Release Date : 1990-09-28
  • Total pages : 372
  • ISBN : 0128114576
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Summary : The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics....

Survey of Applicable Mathematics

Survey of Applicable Mathematics
  • Author : K. Rektorys
  • Publisher : Springer
  • Release Date : 2013-12-19
  • Total pages : 1723
  • ISBN : 0128114576
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Summary : This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969. The thirty-seven chapters cover all the important mathematical fields of use in applications: algebra, geometry, differential and integral calculus, infinite series, orthogonal systems of functions, Fourier ...

Nonlinear Functional Analysis and Applications

Nonlinear Functional Analysis and Applications
  • Author : Louis B. Rall
  • Publisher : Elsevier
  • Release Date : 2014-05-10
  • Total pages : 594
  • ISBN : 0128114576
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Summary : Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from ...