On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis

  • A. Kh. Khachatryan Ин-т математики НАН Армении, Ереван
  • Kh. A. Khachatryan


We investigate a class of Urysohn-type nonlinear integral equations with noncompact operator. We assume that Wiener-Hopf-Hankel-type linear integral operator is local minorant for initial Urysohn operator. We prove alternative theorem on the existence of positive solutions and investigate asymptotic behavior of obtained solutions at infinity.
How to Cite
Khachatryan, A. K., and K. A. Khachatryan. “On the Construction of a Nonnegative Solution for One Class of Urysohn-Type Nonlinear Integral Equations on a Semiaxis”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 1, Jan. 2011, pp. 110-8, https://umj.imath.kiev.ua/index.php/umj/article/view/2702.
Research articles