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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 1, pp. 106–127, January, 2014.
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Khachatryan, K.A., Petrosyan, A.S. On the Solvability of One Class of Nonlinear Integral Equations with a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis. Ukr Math J 67, 120–145 (2015). https://doi.org/10.1007/s11253-015-1068-2
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DOI: https://doi.org/10.1007/s11253-015-1068-2