Geodesic
On the solvability of one class of nonlinear integral equations in~$L_1(0,+\infty)$
Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 190-200

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We study the problem of constructing a solution that is positive, integrable, and essentially bounded on $(0,+\infty)$ to one class of nonlinear Hammerstein integral equations with noncompact operator in the critical case. 
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K. A. Khachatryan; T. E. Terdzhyan. On the solvability of one class of nonlinear integral equations in~$L_1(0,+\infty)$. Matematičeskie trudy, Tome 18 (2015) no. 1, pp. 190-200. http://geodesic.mathdoc.fr/item/MT_2015_18_1_a6/