Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

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Publisher :
ISBN 13 : 9781283624930
Total Pages : 684 pages
Book Rating : 4.31/5 ( download)

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Book Synopsis Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations by : Joseph A. Ball

Download or read book Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations written by Joseph A. Ball and published by . This book was released on 2012 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802978
Total Pages : 684 pages
Book Rating : 4.70/5 ( download)

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Book Synopsis Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations by : Wolfgang Arendt

Download or read book Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2012-06-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

Spectral Theory for Bounded Functions and Applications to Evolution Equations

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Publisher : Nova Science Publishers
ISBN 13 : 9781536121438
Total Pages : 110 pages
Book Rating : 4.36/5 ( download)

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Book Synopsis Spectral Theory for Bounded Functions and Applications to Evolution Equations by : Gaston M. N'Guerekata

Download or read book Spectral Theory for Bounded Functions and Applications to Evolution Equations written by Gaston M. N'Guerekata and published by Nova Science Publishers. This book was released on 2017 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the central questions in the qualitative theory of difference and differential equations is to find the conditions of existence and asymptotic behavior of bounded solutions. For equations with almost periodic coefficients, the problem concerns Favard and Perron. A remarkable theory has been developed in harmonic analysis with outstanding contributions by Loomis, Arendt, Batty, Lyubic, Phong, Naito, Minh and many others, when the Carleman spectrum of the functions is countable. Uniform continuity in this case plays a key role. In the absence of this condition, the theory does not apply. This led to the introduction over the last decade of new types of spectrum functions which helped solve the problem, especially in the case of almost automorphic functions by using the theory of commutating operators.This monograph presents a unique and unified manner of recent developments in the theory of bounded continuous functions, including the space of (Bohr) almost periodic functions and some of their generalizations, and the spaces of (Bochner) almost automorphic functions and almost automorphic sequences. Classical concepts from harmonic analysis such as the Bohr spectrum, Beurling spectrum and Carleman spectrum are also presented with some examples. Special attention is devoted to the recently introduced concepts of uniform spectrum and circular spectrum of bounded functions derived from the study of linear differential equation solutions, whose forcing terms are not necessarily uniformly continuous. Connections between these various types of spectra are also investigated. The book provides a semigroup-free study of the existence and asymptotic behavior of mild solutions concerning evolution equations of the first and second order as well as difference equations. Bibliographical and historical notes complete the major chapters. An appendix reviewing basic results on the theory of commutating operators is given. The content is presented in a way that is easily accessible to readers who are working in differential equations, but are not familiar with harmonic analysis and advanced functional analysis. It's our hope that this first monograph ever on this topic will attract more researchers.

Spectral Theory and Asymptotics of Differential Equations

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Publisher : Elsevier
ISBN 13 : 9780080871240
Total Pages : 209 pages
Book Rating : 4.40/5 ( download)

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Book Synopsis Spectral Theory and Asymptotics of Differential Equations by :

Download or read book Spectral Theory and Asymptotics of Differential Equations written by and published by Elsevier. This book was released on 2011-09-21 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory and Asymptotics of Differential Equations

Spectral Theory and Differential Equations

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Publisher : Springer
ISBN 13 : 3540374442
Total Pages : 338 pages
Book Rating : 4.42/5 ( download)

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Book Synopsis Spectral Theory and Differential Equations by : W.N. Everitt

Download or read book Spectral Theory and Differential Equations written by W.N. Everitt and published by Springer. This book was released on 2006-11-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution Semigroups in Dynamical Systems and Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821811851
Total Pages : 375 pages
Book Rating : 4.56/5 ( download)

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Book Synopsis Evolution Semigroups in Dynamical Systems and Differential Equations by : Carmen Chicone

Download or read book Evolution Semigroups in Dynamical Systems and Differential Equations written by Carmen Chicone and published by American Mathematical Soc.. This book was released on 1999 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic dynamical systems and J. Howland on nonautonomous Cauchy problems. The authors use a wide range of methods and offer a unique presentation. The authors give a unifying approach for a study of infinite-dimensional nonautonomous problems, which is based on the consistent use of evolution semigroups. This unifying idea connects various questions in stability of semigroups, infinite-dimensional hyperbolic linear skew-product flows, translation Banach algebras, transfer operators, stability radii in control theory, Lyapunov exponents, magneto-dynamics and hydro-dynamics. Thus the book is much broader in scope than existing books on asymptotic behavior of semigroups. Included is a solid collection of examples from different areas of analysis, PDEs, and dynamical systems. This is the first monograph where the spectral theory of infinite dimensional linear skew-product flows is described together with its connection to the multiplicative ergodic theorem; the same technique is used to study evolution semigroups, kinematic dynamos, and Ruelle operators; the theory of stability radii, an important concept in control theory, is also presented. Examples are included and non-traditional applications are provided.

Spectral Theory and Differential Equations

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Publisher :
ISBN 13 : 9783662171356
Total Pages : 340 pages
Book Rating : 4.5X/5 ( download)

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Book Synopsis Spectral Theory and Differential Equations by : W. N. Everitt

Download or read book Spectral Theory and Differential Equations written by W. N. Everitt and published by . This book was released on 2014-01-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory and Differential Operators

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Publisher : Oxford University Press
ISBN 13 : 0192540106
Total Pages : pages
Book Rating : 4.02/5 ( download)

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Book Synopsis Spectral Theory and Differential Operators by : David Edmunds

Download or read book Spectral Theory and Differential Operators written by David Edmunds and published by Oxford University Press. This book was released on 2018-05-03 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Spectral Theory for Bounded Functions and Applications to Evolution Equations

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Publisher :
ISBN 13 : 9781536121124
Total Pages : 0 pages
Book Rating : 4.26/5 ( download)

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Book Synopsis Spectral Theory for Bounded Functions and Applications to Evolution Equations by : Gaston M. N'Guerekata

Download or read book Spectral Theory for Bounded Functions and Applications to Evolution Equations written by Gaston M. N'Guerekata and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the central questions in the qualitative theory of difference and differential equations is to find the conditions of existence and asymptotic behavior of bounded solutions. For equations with almost periodic coefficients, the problem concerns Favard and Perron. A remarkable theory has been developed in harmonic analysis with outstanding contributions by Loomis, Arendt, Batty, Lyubic, Phong, Naito, Minh and many others, when the Carleman spectrum of the functions is countable. Uniform continuity in this case plays a key role. In the absence of this condition, the theory does not apply. This led to the introduction over the last decade of new types of spectrum functions which helped solve the problem, especially in the case of almost automorphic functions by using the theory of commutating operators. This monograph presents a unique and unified manner of recent developments in the theory of bounded continuous functions, including the space of (Bohr) almost periodic functions and some of their generalisations, and the spaces of (Bochner) almost automorphic functions and almost automorphic sequences. Classical concepts from harmonic analysis such as the Bohr spectrum, Beurling spectrum and Carleman spectrum are also presented with some examples. Special attention is devoted to the recently introduced concepts of uniform spectrum and circular spectrum of bounded functions derived from the study of linear differential equation solutions, whose forcing terms are not necessarily uniformly continuous. Connections between these various types of spectra are also investigated. The book provides a semigroup-free study of the existence and asymptotic behavior of mild solutions concerning evolution equations of the first and second order as well as difference equations. Bibliographical and historical notes complete the major chapters. An appendix reviewing basic results on the theory of commutating operators is given. The content is presented in a way that is easily accessible to readers who are working in differential equations, but are not familiar with harmonic analysis and advanced functional analysis. Its our hope that this first monograph ever on this topic will attract more researchers.

Spectral Theory of Periodic Differential Equations

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ISBN 13 : 9780028441504
Total Pages : pages
Book Rating : 4.08/5 ( download)

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Book Synopsis Spectral Theory of Periodic Differential Equations by : M. S. Eastham

Download or read book Spectral Theory of Periodic Differential Equations written by M. S. Eastham and published by . This book was released on 1974-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: