Article
Ufa Mathematical Journal
Volume 8, Number 1, pp. 13-19
One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations
Azizyan E.O., Khachatryan K.A.
DOI:10.13108/2016-8-1-13
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In the present work we study a class of
of nonlinear discrete Hammerstein-Volterra equations in a post-critical case. We prove the existence of a one-parametric family of positive solutions in space $l_1$. We describe the set of parameters and establish the monotonic dependence of each solution both in a parameter and a corresponding index.