On the Solvability of One Class of Nonlinear Integral Equations with a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis
AbstractWe 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.
How to Cite
Petrosyan, A., and K. A. Khachatryan. “On the Solvability of One Class of Nonlinear Integral Equations With a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 1, Jan. 2015, pp. 106–127, http://umj.imath.kiev.ua/index.php/umj/article/view/1966.