Well-posed boundary-value problems, right hyperbolicity, and exponential dichotomy
- Authors: Antonevich A.B.1,2, Panteleeva E.V.3
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Affiliations:
- Belarusian State University
- University of Bialystok
- Pushkin Brest State University
- Issue: Vol 100, No 1-2 (2016)
- Pages: 11-23
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149550
- DOI: https://doi.org/10.1134/S0001434616070026
- ID: 149550
Cite item
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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