Engibaryan, N. B.; Arabadzhyan, L. G. On some factorization problems for integral equations of convolution type. (Russian) Zbl 0712.45005 Differ. Uravn. 26, No. 8, 1442-1452 (1990). A factorization of the integral operator \((Af)(x)=f(x)- \int^{\infty}_{0}K(x-t)f(t)dt-\int^{\infty}_{0}K_ 1(x+t)f(t)dt,\) where K, \(K_ 1\) are matrix-functions with integrable elements is given. The authors apply this factorization to a pair of integral equations and to integral equations with two kernels. Reviewer: Z.Binderman Cited in 1 ReviewCited in 5 Documents MSC: 45F15 Systems of singular linear integral equations 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 47G10 Integral operators 45P05 Integral operators Keywords:integral equations of convolution type; system; factorization; integral operator; matrix-functions PDFBibTeX XMLCite \textit{N. B. Engibaryan} and \textit{L. G. Arabadzhyan}, Differ. Uravn. 26, No. 8, 1442--1452 (1990; Zbl 0712.45005)