Techniques of Functional Analysis for Differential and Integral Equations

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  • Publisher : Academic Press
  • Release : 16 May 2017
  • ISBN : 9780128114575
  • Page : 320 pages
  • Rating : 4.5/5 from 103 voters

Techniques of Functional Analysis for Differential and Integral Equations Book PDF 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 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

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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
  • ISBN : 9780128114575
DOWNLOAD BOOKTechniques 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

Collocation Methods for Volterra Integral and Related Functional Differential Equations

Collocation Methods for Volterra Integral and Related Functional Differential Equations
  • Author : Hermann Brunner
  • Publisher : Cambridge University Press
  • Release Date : 2004-11-15
  • ISBN : 0521806151
DOWNLOAD BOOKCollocation Methods for Volterra Integral and Related Functional Differential Equations

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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
  • ISBN : 9781000078589
DOWNLOAD BOOKSpecial 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

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations
  • Author : Haim Brezis
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-02
  • ISBN : 9780387709147
DOWNLOAD BOOKFunctional Analysis, Sobolev Spaces and Partial Differential Equations

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover

Integral Equations

Integral Equations
  • Author : Wolfgang Hackbusch
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • ISBN : 9783034892155
DOWNLOAD BOOKIntegral 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

Methods in Nonlinear Integral Equations

Methods in Nonlinear Integral Equations
  • Author : R Precup
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • ISBN : 9789401599863
DOWNLOAD BOOKMethods in Nonlinear Integral Equations

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

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
  • ISBN : 9781000078565
DOWNLOAD BOOKSpecial 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

Functional Analysis and Numerical Mathematics

Functional Analysis and Numerical Mathematics
  • Author : Lothar Collatz
  • Publisher : Academic Press
  • Release Date : 2014-05-12
  • ISBN : 9781483264004
DOWNLOAD BOOKFunctional 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 Date : 2007-06-07
  • ISBN : 9780387287690
DOWNLOAD BOOKTheoretical 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

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
  • ISBN : 9780470906521
DOWNLOAD BOOKGreen'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

Applied functional Analysis and Partial Differential Equations

Applied functional Analysis and Partial Differential Equations
  • Author : Milan Miklavčič
  • Publisher : Allied Publishers
  • Release Date : 1998
  • ISBN : 8177648519
DOWNLOAD BOOKApplied functional Analysis and Partial Differential Equations

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
  • ISBN : 9780817682415
DOWNLOAD BOOKStationary 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

Computational Functional Analysis

Computational Functional Analysis
  • Author : Ramon E Moore,Michael J Cloud
  • Publisher : Elsevier
  • Release Date : 2007-06-01
  • ISBN : 9780857099433
DOWNLOAD BOOKComputational Functional Analysis

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 interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life

History of Functional Analysis

History of Functional Analysis
  • Author : J. Dieudonne
  • Publisher : Elsevier
  • Release Date : 1983-01-01
  • ISBN : 0080871607
DOWNLOAD BOOKHistory 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

Functional Analysis in Interdisciplinary Applications

Functional Analysis in Interdisciplinary Applications
  • Author : Tynysbek Sh Kalmenov,Erlan D. Nursultanov,Michael V. Ruzhansky,Makhmud A. Sadybekov
  • Publisher : Unknown
  • Release Date : 2017
  • ISBN : 3319883704
DOWNLOAD BOOKFunctional Analysis in Interdisciplinary Applications