Second order linear differential equations in Banach spaces [electronic resource] / H.O. Fattorini.
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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| Online Access: |
Full Text (via ScienceDirect) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; New York : New York, N.Y. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1985.
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| Series: | North-Holland mathematics studies ;
108. Notas de matemática (Rio de Janeiro, Brazil) ; no. 99. |
| Subjects: |
Table of 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.