Exponentially dichotomous operators and applications
Cornelis V. M. Mee
In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.
种类:
年:
2008
出版:
1
出版社:
Birkhäuser
语言:
english
页:
231
ISBN 10:
3764387327
ISBN 13:
9783764387327
系列:
Operator theory, advances and applications Linear operators and linear systems 182
文件:
PDF, 1.15 MB
IPFS:
,
english, 2008