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arXiv · 1508.00755

Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems

I. Kmit·R. Klyuchnyk
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Abstract

The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions. Under natural regularity assumptions on the data it is shown that the problems display completely non-resonant behaviour and satisfy the Fredholm alternative in the spaces of continuous and time-periodic functions.

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I. Kmit, R. Klyuchnyk. 2015-08-04. Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems. https://doi.org/10.14232/ejqtde.2016.1.96

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