Geodesic
On solution of a system of Hammerstein–Nemitskii type nonlinear integral equations on whole axis
Trudy Instituta matematiki, Tome 21 (2013) no. 2, pp. 154-161

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We study a system of Hammerstein–Nemitskii type nonlinear integral equations on whole axis. The system has direct application in the theory of Ricker`s nonlinear system for travelling waves.The combination of special iterative methods with the theory of primitive matrices and properties of convolution operations allow us to prove existence of a positive solution (by components) in the space of integrable functions possesing zero limit at infinity. 
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     author = {Kh. A. Khachatryan},
     title = {On solution of a system of {Hammerstein{\textendash}Nemitskii} type nonlinear integral equations on whole axis},
     journal = {Trudy Instituta matematiki},
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Kh. A. Khachatryan. On solution of a system of Hammerstein–Nemitskii type nonlinear integral equations on whole axis. Trudy Instituta matematiki, Tome 21 (2013) no. 2, pp. 154-161. http://geodesic.mathdoc.fr/item/TIMB_2013_21_2_a9/