Titlebook: Exponentially Dichotomous Operators and Applications; Cornelis Mee Book 2008 Birkh?user Basel 2008 Banach space.Cauchy problem.Riccati equ

頌揚(yáng)本人

Cornelis MeeFirst book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.Includes supplementary material:

拾落穗

火光在搖曳

誘使

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清晰

Abstract Cauchy problems,on the existence of a unique solution of the Cauchy problem . In this chapter we study the existence and uniqueness of classical, weak, and mild solutions to the Cauchy problem . where now . is an exponentially dichotomous operator. Furthermore, we characterize exponentially dichotomous operators as

因無茶而冷淡

cardiac-arrest

Transport Equations,ee decades [82, 83, 24, 15, 152, 102, 77]. Here we study their evolution operators as multiplicative perturbations of exponentially dichotomous operators, first for multiplicative perturbations that are compact perturbations of the identity, then for positive selfadjoint (bounded as well as unbounde

Haphazard

Noncausal Continuous Time Systems,re . ∈ ?. is time, . is input, . is output, . is the state, and ?. generates a strongly continuous semigroup, we now consider . ∈ ? and require ?. to be exponentially dichotomous. This amounts to dropping the causality assumption on the linear system. Various theories can be developed, parallelling

Cupidity

Mixed-type Functional Differential Equations,alued) Lebesgue-Stieltjes measures on [?.]. Equation (8.1) is called of . if the measure matrix .η(θ) is supported on both of the subintervals [0, .] and [?., 0]. As an initial condition we assume . to be known for .∈[?.]: . The special case studied most has the form . where ～.,…,.} is a subset of [