Integral equations of convolution type on unions of intervals

The main purpose of this note is to study, on the union of one finite and one infinite intervals, systems of convolution equations of the form (1)∫ΩK(ξ−xφ(x)dx=ψ(ξ),   ξ∈  Ω,https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780367812027/499b2676-17a6-4805-9fd8-78c8baf0b813/content/eq184.tif"/>