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- W2005002015 abstract "This survey presents a systematic exposition of the elements of the theory of operator semigroups (OS's) in Banach space from Hille-Yosida to the end of 1989. There is a parallel exposition of the theory of cosine operator functions (COF's). The paper contains the following divisions: Linear differential equations in Banach space, reduction of the Cauchy problem for second order equations to the Cauchy problem for first order equations, one-parameter OS's and COF's. differentiable OS's. analytic OS's. Fredholm OS's. positive OS's. stable OS's. spectral properties of OS's and COF's. compactness properties of OS's and COF's. uniformly continuous OS's and COF's. almost periodic OS's and COF's. uniformly bounded OS's and COF's. the theory of perturbations for OS's and COF's. ad joint OS's and COF's." @default.
- W2005002015 created "2016-06-24" @default.
- W2005002015 creator A5015416833 @default.
- W2005002015 creator A5058746949 @default.
- W2005002015 creator A5071031052 @default.
- W2005002015 date "1991-04-01" @default.
- W2005002015 modified "2023-10-16" @default.
- W2005002015 title "Semigroups of operators, cosine operator functions, and linear differential equations" @default.
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