Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems
Analysis of PDEs
2025-12-10 v2
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.
Keywords
Cite
@article{arxiv.1508.00755,
title = {Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems},
author = {I. Kmit and R. Klyuchnyk},
journal= {arXiv preprint arXiv:1508.00755},
year = {2025}
}
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Final version