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The Cauchy Problem for Higher Order Abstract Differential Equations (Paperback, 1998 ed.) Loot Price: R1,971
Discovery Miles 19 710
The Cauchy Problem for Higher Order Abstract Differential Equations (Paperback, 1998 ed.): Ti-Jun Xiao, Jin Liang

The Cauchy Problem for Higher Order Abstract Differential Equations (Paperback, 1998 ed.)

Ti-Jun Xiao, Jin Liang

Series: Lecture Notes in Mathematics, 1701

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Loot Price R1,971 Discovery Miles 19 710 | Repayment Terms: R185 pm x 12*

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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. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1701
Release date: 2001
First published: 1998
Authors: Ti-Jun Xiao • Jin Liang
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Paperback
Pages: 300
Edition: 1998 ed.
ISBN-13: 978-3-540-65238-0
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 3-540-65238-8
Barcode: 9783540652380

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