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arXiv:1701.02091 [math.AP]AbstractReferencesReviewsResources

Bounded Solutions to Boundary Value Hyperbolic Problems

R. Klyuchnyk, I. Kmit

Published 2017-01-09Version 1

We investigate linear boundary value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients.

Comments: 12 pages. arXiv admin note: text overlap with arXiv:1610.04058, arXiv:1604.04401
Journal: Nonlinear Oscillations 19 (2016), N 4, 509-520
Categories: math.AP
Subjects: 35A17, 35F45, 35L40
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