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The Cauchy Problem for Higher Order Abstract Differential Equations (Lecture Notes in Mathematics) download epub

by Jin Liang,Ti-Jun Xiao


Epub Book: 1221 kb. | Fb2 Book: 1298 kb.

eBook 39,99 €. price for Russian Federation (gross). ISBN 978-3-540-49479-9. A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ).

Author Dold, Albrecht, Xiao, Ti-Jun, Liang, Jin. ISBN 3540652388. ISBN13: 9783540652380.

Solvability of the Cauchy problem in the class Em. Well-posedness and uniform-well posedness. Energy inequalities for symmetric hyperbolic systems. Some remarks on the energy inequalities. Singular integral operators. Energy inequalities for regularly hyperbolic systems.

Ti-Jun Xiao, Jin Guang Liang

Ti-Jun Xiao, Jin Guang Liang. Laplace transforms and operator families in locally convex spaces. Wellposedness and solvability. Generalized wellposedness. Of concern are the Cauchy problems for linear and semilinear time fractional evolution equations involving in the linear part, a linear operator A whose resolvent satisfies the estimate of growth −. More).

Create digital flashcards instantly. The prerequisites in stochastic processes are modest, knowledge at the level of Oksendal's Stochastic differential Eqiuations is more than sufficient.

Jun Zhang, Ti-Jun Xiao, and Jin Liang. J. Blot, G. M. Mophou, G. N'Guérékata, and D. Pennequin, Weighted pseudo almost automorphic functions and applications to abstract differential equations, Nonlinear Analysis. Theory, Methods & Applications, vol. 71, no. 3-4, pp. 903–909, 2009.

Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material.

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.
The Cauchy Problem for Higher Order Abstract Differential Equations (Lecture Notes in Mathematics) download epub
Mathematics
Author: Jin Liang,Ti-Jun Xiao
ISBN: 3540652388
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Springer; 1998 edition (May 15, 1999)
Pages: 300 pages