2017
Том 69
№ 6

All Issues

On the Solvability of One Class of Nonlinear Integral Equations with a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis

Khachatryan Kh. A., Petrosyan A.


Abstract

We study a class of nonlinear integral equations with a noncompact operator of the Hammerstein–Stieltjes-type on the semiaxis. The existence of positive solutions is proved in various function spaces by using the factorization methods and specially chosen successive approximations.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 1, pp 120-145.

Citation Example: Khachatryan Kh. A., Petrosyan A. On the Solvability of One Class of Nonlinear Integral Equations with a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis // Ukr. Mat. Zh. - 2015. - 67, № 1. - pp. 106–127.