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Complete Second Order Linear Differential Equations in Hilbert Spaces

Name: Complete Second Order Linear Differential Equations in Hilbert Spaces
Brand: Springer Basel
SKU: 9783034899406
Price: 428.07 PLN
Availability: InStock

Autor: Alexander Ya. Shklyar

Język:

Oprawa: Miękka

Wydawca: Springer Basel

Dostępność: Dostępna u dostawcy

Wysyłamy za 5-8 dni

428.07 zł

Incomplete second order linear differential equations in Banach spaces as well as first order equati...

Informacje o książce

Autor

Alexander Ya. Shklyar

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2011

strony

220

EAN

9783034899406

ISBN

3034899408

Enbook ID

06798755

Wydawca

Springer Basel

Waga

365

Wymiary

155 x 235 x 13

Pełny opis

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.