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Second order linear differential equations in Banach spaces /

Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbati...

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Bibliographic Details
Main Authors: Fattorini, H. O. Hector O., 1938
Corporate Authors: Elsevier Science & Technology
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y. :
Publication Dates: 1985.
Literature type: eBook
Language: English
Series: North-Holland mathematics studies ; 108
Notas de matema tica ; 99
Subjects:
Differential equations, Partial
Differential equations, Linear
Banach spaces
E quations aux de rive es partielles
E quations diffe rentielles line aires
Banach, Espaces de
MATHEMATICS > Pre-Calculus
MATHEMATICS > Reference
MATHEMATICS > Essays
Linear differential equations
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/108
Summary: Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schro dinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.
Carrier Form: 1 online resource (xiii, 314 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 303-314).
ISBN: 9780444876980
0444876987
9780080872193
0080872190
Index Number: QA1
CLC: O1
Contents: The Cauchy problem for first order equations : semigroup theory -- The Cauchy problem for second order equations : Cosine function theory -- Reduction of a second order equation to a first order system : phase spaces -- Applications to partial differential equations -- Uniformly bounded groups and Cosine functions in Hilbert space -- The parabolic singular perturbation problem -- Other singular perturbation problems -- The complete second order equation.

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