2015/08/04 by Irina Kmit, Kmit, I., R. Klyuchnyk +1
Engineering · Mathematics · #35A17 #35B10 #35F45 #35L40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations
paper · doi:10.48550/arxiv.1508.00755
openalex publication_date 2015/08/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.