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) |
|---|---|
| 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.
|
| Series: | North-Holland mathematics studies ;
108. Notas de matemática (Rio de Janeiro, Brazil) ; no. 99. |
| Subjects: |
MARC
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| 100 | 1 | |a Fattorini, H. O. |q (Hector O.), |d 1938- |0 http://id.loc.gov/authorities/names/n82154383 |1 http://isni.org/isni/0000000109196132. | |
| 245 | 1 | 0 | |a Second order linear differential equations in Banach spaces |h [electronic resource] / |c H.O. Fattorini. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1985. | ||
| 300 | |a 1 online resource (xiii, 314 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 490 | 1 | |a North-Holland mathematics studies ; |v 108. | |
| 490 | 1 | |a Notas de matemática ; |v 99. | |
| 504 | |a Includes bibliographical references (pages 303-314) | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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 Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912. | |
| 650 | 0 | |a Differential equations, Linear. |0 http://id.loc.gov/authorities/subjects/sh85037903. | |
| 650 | 0 | |a Banach spaces. |0 http://id.loc.gov/authorities/subjects/sh85011441. | |
| 650 | 7 | |a Banach spaces. |2 fast |0 (OCoLC)fst00826389. | |
| 650 | 7 | |a Differential equations, Linear. |2 fast |0 (OCoLC)fst00893468. | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484. | |
| 776 | 0 | 8 | |i Print version: |a Fattorini, H.O. (Hector O.), 1938- |t Second order linear differential equations in Banach spaces. |d Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985 |z 0444876987 |z 9780444876980 |w (DLC) 84028658 |w (OCoLC)11550294. |
| 830 | 0 | |a North-Holland mathematics studies ; |v 108. |0 http://id.loc.gov/authorities/names/n83742897. | |
| 830 | 0 | |a Notas de matemática (Rio de Janeiro, Brazil) ; |v no. 99. |0 http://id.loc.gov/authorities/names/n84801667. | |
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