The Cauchy Problem for Higher Order Abstract Differential Equations is popular PDF and ePub book, written by Ti-Jun Xiao in 2013-12-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Cauchy Problem for Higher Order Abstract Differential Equations can be Read Online from any device for your convenience.
The Cauchy Problem for Higher Order Abstract Differential Equations Book PDF Summary
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.
Detail Book of The Cauchy Problem for Higher Order Abstract Differential Equations PDF
- Author : Ti-Jun Xiao
- Release : 11 December 2013
- Publisher : Springer
- ISBN : 9783540494799
- Genre : Mathematics
- Total Page : 314 pages
- Language : English
- PDF File Size : 10,6 Mb
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