Description: The Cauchy Problem for Higher Order Abstract Differential Equations by Ti-Jun Xiao, Jin Liang The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This monograph is the first systematic exposition of the theory of the Cauchy problem for higher order abstract linear differential equations, which covers all the main aspects of the developed theory. The main results are complete with detailed proofs and established recently, containing the corresponding theorems for first and incomplete second order cases and therefore for operator semigroups and cosine functions. They will find applications in many fields. The special power of treating the higher order problems directly is demonstrated, as well as that of the vector-valued Laplace transforms in dealing with operator differential equations and operator families. The reader is expected to have a knowledge of complex and functional analysis. Notes This book is a valuable resource for scientists and engineers in differential equations, analysis and functional analysis, mathematical physics, control theory, mechanics and engineering, and for graduate students in these disciplines. Table of Contents Laplace transforms and operator families in locally convex spaces.- Wellposedness and solvability.- Generalized wellposedness.- Analyticity and parabolicity.- Exponential growth bound and exponential stability.- Differentiability and norm continuity.- Almost periodicity.- Appendices: A1 Fractional powers of non-negative operators.- A2 Strongly continuous semigroups and cosine functions.- Bibliography.- Index.- Symbols. Promotional Springer Book Archives Long Description The main purpose of this book is to present the basic theory and some recent de Description for Sales People This book is a valuable resource for scientists and engineers in differential equations, analysis and functional analysis, mathematical physics, control theory, mechanics and engineering, and for graduate students in these disciplines. Details ISBN3540652388 Author Jin Liang Short Title CAUCHY PROBLEM FOR HIGHER ORDE Series Lecture Notes in Mathematics Language English ISBN-10 3540652388 ISBN-13 9783540652380 Media Book Format Paperback DEWEY 510 Series Number 1701 Year 1998 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1964 Pages 300 Illustrations XIV, 300 p. DOI 10.1007/b68689;10.1007/978-3-540-49479-9 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 1998 ed. Edition 1998th Publication Date 1998-11-18 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96272289;
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ISBN-13: 9783540652380
Book Title: The Cauchy Problem for Higher Order Abstract Differential Equatio
Number of Pages: 300 Pages
Language: English
Publication Name: The Cauchy Problem for Higher Order Abstract Differential Equations
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Publication Year: 1998
Subject: Mathematics
Item Height: 235 mm
Item Weight: 1010 g
Type: Textbook
Author: Jin Liang, Ti-Jun Xiao
Item Width: 155 mm
Format: Paperback
