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Exponentially Dichotomous Operators and Applications
Cornelis V. M. Van Der Mee
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Description for Exponentially Dichotomous Operators and Applications
Hardback. Series: Operator Theory: Advances and Applications. Num Pages: 239 pages, biography. BIC Classification: PBKJ. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 18. Weight in Grams: 567.
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.
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.
Product Details
Format
Hardback
Publication date
2008
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
239
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
224
Place of Publication
Basel, Switzerland
ISBN
9783764387310
SKU
V9783764387310
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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