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.
İçerik tablosu
Exponentially Dichotomous operators and Bisemigroups.- Perturbing Exponentially Dichotomous Operators.- Abstract Cauchy problems.- Riccati Equations and Wiener-Hopf Factorization.- Transport Equations.- Indefinite Sturm-Liouville Problems.- Noncausal Continuous Time Systems.- Mixed-type Functional Differential Equations.
Dil İngilizce ● Biçim PDF ● Sayfalar 224 ● ISBN 9783764387327 ● Dosya boyutu 1.6 MB ● Yayımcı Springer Basel ● Kent Basel ● Ülke CH ● Yayınlanan 2008 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 2205894 ● Kopya koruma Sosyal DRM