Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems
arXiv:1508.00755 · doi:10.14232/ejqtde.2016.1.96
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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