Complete Second Order Linear Differential Equations in Hilbert Spaces: 92 (Operator Theory: Advances and Applications, 92) - Tapa dura

Shklyar, Alexander Ya.

 
9783764353773: Complete Second Order Linear Differential Equations in Hilbert Spaces: 92 (Operator Theory: Advances and Applications, 92)
Tapa dura
ISBN 10: 3764353775 ISBN 13: 9783764353773
Editorial: Birkhäuser, 1997

Sinopsis

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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Reseña del editor

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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Editorial
Birkhäuser
Año de publicación
1997
Idioma
Inglés
ISBN 10 
3764353775
ISBN 13 
9783764353773
Encuadernación
Tapa dura
Número de páginas
236
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783034899406: Complete Second Order Linear Differential Equations in Hilbert Spaces: 92 (Operator Theory: Advances and Applications)

Edición Destacada

ISBN 10:  3034899408 ISBN 13:  9783034899406
Editorial: Birkhäuser, 2011
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