2017
Том 69
№ 9

All Issues

Sardaryan T. G. On the solvability of one system of nonlinear Hammerstein-type integral equations on the semiaxis

Khachatryan Kh. A., Sardaryan T. G., Terjyan Ts. E.


Abstract

We study the problems of construction of positive summable and bounded solutions for the systems of nonlinear Hammerstein-type integral equations with difference kernels on the semiaxis. The indicated systems have direct applications to the kinetic theory of gases, the theory of radiation transfer in spectral lines, and the theory of nonlinear Ricker competition models for running waves.

Citation Example: Khachatryan Kh. A., Sardaryan T. G., Terjyan Ts. E. Sardaryan T. G. On the solvability of one system of nonlinear Hammerstein-type integral equations on the semiaxis // Ukr. Mat. Zh. - 2017. - 69, № 8. - pp. 1107-1122.