an:06444090
Zbl 1320.45001
Khachatryan, Khachatur A.
On positive solutions of one class of nonlinear integral equations of Hammerstein-Nemytski?? type on the whole axis
EN
Trans. Mosc. Math. Soc. 2014, 1-12 (2014); translation from Tr. Mosk. Mat. O.-va 75, No. 1, 1-14 (2014).
00344922
2014
j
45G10 45M20
positive solution; Carath??odory condition; convergence of iterations; monotonicity; inhomogeneous medium; Hammerstein-Nemytski?? equation
Summary: This paper is devoted to studying one class of nonlinear integral equations of Hammerstein-Nemytski?? type on the whole axis, which occurs in the theory of transfer in inhomogeneous medium. It is proved that these equations can be solved in various function spaces, and the asymptotic behaviour at infinity of the solutions that are constructed is studied.