Email this article Bounded Solutions of Hyperbolic Boundary-Value Problems
- Authors: Klyuchnyk R.1, Kmit I.2
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Affiliations:
- Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Humboldt University Berlin and Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 228, No 3 (2018)
- Pages: 263-275
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240229
- DOI: https://doi.org/10.1007/s10958-017-3619-6
- ID: 240229
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Abstract
We investigate linear boundary-value problems for the first-order one-dimensional hyperbolic systems in a strip and establish conditions for the existence and uniqueness of bounded continuous solutions. For this purpose, we suppose that the nondiagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and determine the diagonal part of the zero-order coefficients.
About the authors
R. Klyuchnyk
Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Author for correspondence.
Email: roman.klyuchnyk@gmail.com
Ukraine, Naukova str., 3b, Lviv, 79060
I. Kmit
Humboldt University Berlin and Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: roman.klyuchnyk@gmail.com
Ukraine, Naukova str., 3b, Lviv, 79060
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