Differential Operators Of Infinite Order With Real Arguments And Their Applications
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Differential Operators Of Infinite Order With Real Arguments And Their Applications
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Author : Nho H o Dinh
language : en
Publisher: World Scientific
Release Date : 1994
Differential Operators Of Infinite Order With Real Arguments And Their Applications written by Nho H o Dinh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.
Analytic Pseudo Differential Operators And Their Applications
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Author : Julii A. Dubinskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytic Pseudo Differential Operators And Their Applications written by Julii A. Dubinskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aIle:' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.
Inverse Problems And Inverse Scattering Of Plane Waves
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Author : Dilip N. Ghosh Roy
language : en
Publisher: Academic Press
Release Date : 2001-10-04
Inverse Problems And Inverse Scattering Of Plane Waves written by Dilip N. Ghosh Roy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-04 with Computers categories.
The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter. Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.
Analytic Pseudo Differential Operators And Their Applications
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Author : Julii A. Dubinskii
language : en
Publisher: Springer
Release Date : 1991-07-31
Analytic Pseudo Differential Operators And Their Applications written by Julii A. Dubinskii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-31 with Mathematics categories.
One service mathematics has rendered the 'Et moi, ... , si j'avait su comment en revenir, je n'y serais point aIle:' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.
Sobolev Spaces Of Infinite Order And Differential Equations
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Author : Julii A. Dubinskii
language : en
Publisher: Springer Science & Business Media
Release Date : 1986-12-31
Sobolev Spaces Of Infinite Order And Differential Equations written by Julii A. Dubinskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-31 with Mathematics categories.
Introduction To Fractional And Pseudo Differential Equations With Singular Symbols
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Author : Sabir Umarov
language : en
Publisher: Springer
Release Date : 2015-08-18
Introduction To Fractional And Pseudo Differential Equations With Singular Symbols written by Sabir Umarov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-18 with Mathematics categories.
The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.
Sequence Spaces And Measures Of Noncompactness With Applications To Differential And Integral Equations
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Author : Józef Banaś
language : en
Publisher: Springer
Release Date : 2014-07-18
Sequence Spaces And Measures Of Noncompactness With Applications To Differential And Integral Equations written by Józef Banaś and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Mathematics categories.
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.
Methods For Inverse Heat Conduction Problems
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Author : Dinh Nho Hào
language : en
Publisher: Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
Release Date : 1998
Methods For Inverse Heat Conduction Problems written by Dinh Nho Hào and has been published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
The problems of determining the surface temperature and the surface heat flux, the capacity of the heat transfer coefficient from transient temperature measurements at one or more locations are frequently arising in many practical engineering contexts. These so-called inverse heat conduction problems (IHCPs) have been extensively studied over the last 30 years. This book starts with an up-to-date overview on the subject. It is mainly devoted to solvability criteria for IHCPs as well as efficient and stable solution methods like mollification methods, variational and iterative methods.
Method Of Averaging For Differential Equations On An Infinite Interval
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Author : Vladimir Shepselevich Burd
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2007-03-19
Method Of Averaging For Differential Equations On An Infinite Interval written by Vladimir Shepselevich Burd and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-19 with Mathematics categories.
Explains the modern theory of the method of averaging and provides a understanding of the results obtained when applying this theory. This book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It also includes chapters devoted to systems with a rapidly rotating phase.
Differential Equations And Applications
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Author : Yeol Je Cho
language : en
Publisher: Nova Publishers
Release Date : 2007-07-02
Differential Equations And Applications written by Yeol Je Cho and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-02 with Mathematics categories.
Preface; Existence for set Differential Equations via Multivalued Operator Equations; Nonlocal Cauchy Problem for Abstract Functional Integrodifferential Equations; Existence Results for Discontinuous Functional Evolution Equations in Abstract Spaces; A Generalised Solution of the Black-Scholes Partial Differential Equation; Optimality and Duality for Multiobjective Fractional Programming with Generalised Invexity; Markovian Approach to the Backward Recurrence Time; A Multiplicity Result of Singular Boundary Value Problems for Second Order Impulsive Differential Equations; Extremal Solutions of Initial Value Problem for Non-linear Second Order Impulsive Integro-Differential Equations of Volterra Type in Banach Spaces; Construction of Upper and Lower Solutions for Singular p-Laplacian Equations with Sign Changing Nonlinearities; A Qualitative Hamiltonian Model for Human Motion; ; Newton's Method for Matrix Polynomials; Admissibility and Non-Uniform Dichotomy for Differential Systems; Boundary Value Problems of Fuzzy Differential Equations on an Infinite Interval; An Ultimate Boundedness Result for a Certain System of Fourth Order Non-linear Differential Equations; The Initial Value Problems for the First Order System of Non-linear Impulsive Integro-Differential Equations; Generic Well-Posedness of Nonconvex Optimal Control Problems; Index.