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Kniha Complete Second Order Linear Differential Equations in Hilbert Spaces Alexander Ya. Shklyar

Complete Second Order Linear Differential Equations in Hilbert Spaces

Autor: Alexander Ya. Shklyar
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Birkhauser Verlag AG
Dostupnosť: Skladom u dodávateľa v malom množstve
Odosielame za 13-18 dní
106.16 €
Incomplete second order linear differential equations in Banach spaces as well as first order equati...

Informácie o knihe

Autor
Alexander Ya. Shklyar
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1997
Stránok
220
EAN
9783764353773
ISBN
3764353775
Enbook ID
05289164
Vydavateľ
Birkhauser Verlag AG
Hmotnosť
1120
Rozmery
155 x 235 x 20

Kompletný popis

Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.

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