Noch Fragen? 0800 / 33 82 637

The Cauchy Problem for Higher Order Abstract Differential Equations

Produktform: Buch / Einband - flex.(Paperback)

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-540-65238-0 / 978-3540652380 / 9783540652380

Verlag: Springer Berlin

Erscheinungsdatum: 18.11.1998

Seiten: 300

Auflage: 1

Zielgruppe: Research

Autor(en): Ti-Jun Xiao, Jin Liang

53,45 € inkl. MwSt.
kostenloser Versand

sofort lieferbar - Lieferzeit 1-3 Werktage

zurück