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On some factorization problems for integral equations of convolution type. (Russian) Zbl 0712.45005
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

##### 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