2017
Том 69
№ 9

All Issues

An integral equation of convolution type with two kernels and its abstract analog

Poletaev G. S.

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Abstract

We consider an integral equation of the convolution type with two kernels, generated by functions from some Banach algebras, and a linear equation with two coefficients in abstract rings with factorial pairs of sub-rings. Theorems and formulas have been proved, characterizing the general relation of the solvability problem of the equations with the factorization properties of elements constructed from the kernels and coefficients.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 8, pp 964-976.

Citation Example: Poletaev G. S. An integral equation of convolution type with two kernels and its abstract analog // Ukr. Mat. Zh. - 1992. - 44, № 8. - pp. 1065–1078.

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