Well-posed boundary-value problems, right hyperbolicity, and exponential dichotomy


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Abstract

A relationship between the existence of well-posed boundary-value problems and exponential dichotomy for functional equations and linear differential-operator equations on a half-line is considered. It is shown that well-posed boundary-value problems can exist for equations without the exponential dichotomy property.

About the authors

A. B. Antonevich

Belarusian State University; University of Bialystok

Author for correspondence.
Email: antonevich@bsu.by
Belarus, Minsk; Bialystok

E. V. Panteleeva

Pushkin Brest State University

Email: antonevich@bsu.by
Belarus, Brest

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