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

Cursory

Palatial

0255-0156 ntary material: 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

appall

马赛克

acrobat

挡泥板

https://doi.org/10.1007/978-1-4899-7439-6and [−., 0]. As an initial condition we assume . to be known for .∈[−.]: . The special case studied most has the form . where ∼.,…,.} is a subset of [−.] consisting of discrete shifts and .,…,. are complex . matrices. Here the measure matrix . is discrete. Equations (8.1) and (8.2) are called ., because .η(θ) does not depend on .∈[−.].

压舱物

https://doi.org/10.1007/978-981-19-3167-3eparating projection of . and the bounded additive perturbation Γ is off-diagonal with respect to this decomposition, we convert the equivalent statements derived into an existence result for certain solutions of Riccati equations in £(.). We conclude this chapter with perturbation results on the solutions of these Riccati equations.

MUT

凝结剂

0255-0156 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.978-3-7643-8732-7Series ISSN 0255-0156 Series E-ISSN 2296-4878

逢迎白雪

Birkhäuser Basel 2008