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The paper concerns nonlocal time-periodic boundary value problems forfirst-order Volterra integro-differential hyperbolic systems with boundaryinputs. The systems are subjected to integral boundary conditions. Undernatural regularity assumptions on the data it is shown that the problemsdisplay completely non-resonant behaviour and satisfy the Fredholm alternativein the spaces of continuous and time-periodic functions.

Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems