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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fattorini, H. O. (Hector O.), 1938-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985.
Colección:North-Holland mathematics studies ; 108.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 99.
Temas:
Differential equations, Partial.
Differential equations, Linear.
Banach spaces.
�Equations aux d�eriv�ees partielles.
�Equations diff�erentielles lin�eaires.
Espaces de Banach.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
MATHEMATICS > Essays.
Banach spaces
Differential equations, Linear
Differential equations, Partial
Linear differential equations
Acceso en línea:Texto completo
Texto completo
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Tabla de Contenidos:
  • 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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