Geodesic
On a Criterion for the Invertibility of Integral Operators of the Second Kind in the Space of Summable Functions on the Semiaxis
Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 849-855.

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To establish a criterion for the invertibility of integral operators of the second kind in terms of the kernel of the integral part of this operator, a special factorization method is applied. We present a transformation reducing the problem of the invertibility of such an operator to that of the inversion of an integral operator of the second kind with contracting integral part.
Keywords: criterion for the invertibility of integral operators, integral operator of the second kind, contraction operator, invertibility conditions. 
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G. A. Grigoryan. On a Criterion for the Invertibility of Integral Operators of the Second Kind in the Space of Summable Functions on the Semiaxis. Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 849-855. http://geodesic.mathdoc.fr/item/MZM_2014_96_6_a3/

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