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Titlebook: Delay Equations; Functional-, Complex Odo Diekmann,Sjoerd M. Verduyn Lunel,Hanns-Otto Wa Book 1995 Springer Science+Business Media New York

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书目名称Delay Equations
副标题Functional-, Complex
编辑Odo Diekmann,Sjoerd M. Verduyn Lunel,Hanns-Otto Wa
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Delay Equations; Functional-, Complex Odo Diekmann,Sjoerd M. Verduyn Lunel,Hanns-Otto Wa Book 1995 Springer Science+Business Media New York
描述The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple, yet rich, class of examples, that is, those described by delay differential equations. It is a textbook giving detailed proofs and providing many exercises, which is intended both for self-study and for courses at a graduate level. The book would also be suitable as a reference for basic results. As the subtitle indicates, the book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. After studying this book, the reader should have a working knowledge of applied functional analysis and dynamical systems.
出版日期Book 1995
关键词Eigenvalue; Smooth function; calculus; differential equation; functional analysis; measure; spectral theor
版次1
doihttps://doi.org/10.1007/978-1-4612-4206-2
isbn_softcover978-1-4612-8696-7
isbn_ebook978-1-4612-4206-2Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1995
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Die Fortentwicklung des Datenschutzestic equation. Particularly relevant questions are: how are the roots of the characteristic equation located relative to the imaginary axis, and when do roots cross the imaginary axis as parameters are varied? (cf. Chapters I, IV and X).
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Die normativen Rahmenbedingungenely, we postulate the existence of . > 0 such that .(t) may depend (linearly) on .(τ) for . — . ≤ τ ≤ . but not on .(τ) for τ < . — . or for τ > .. Given these restrictions we would like to consider a general equation. However, some more choices have to be made before we can state precisely what is the “general” equation.
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Linear autonomous RFDE,ely, we postulate the existence of . > 0 such that .(t) may depend (linearly) on .(τ) for . — . ≤ τ ≤ . but not on .(τ) for τ < . — . or for τ > .. Given these restrictions we would like to consider a general equation. However, some more choices have to be made before we can state precisely what is the “general” equation.
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