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This article is cited in 2 scientific papers (total in 2 papers)
One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein–Volterra equations
H. H. Azizyana, Kh. A. Khachatryanb a Armenian National Agrarian University, Teryan str. 74,
0009, Erevan, Armenia
b Institute of Mathematics NAS RA, Marshal Bagramian av. 24/5, 0019, Erevan, Armenia
Abstract:
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.
Keywords:
post-criticity condition, iterations, monotonocity, one-parametric family of solutions.
Received: 31.08.2015
Citation:
H. H. Azizyan, Kh. A. Khachatryan, “One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein–Volterra equations”, Ufimsk. Mat. Zh., 8:1 (2016), 15–21; Ufa Math. J., 8:1 (2016), 13–19
Linking options:
https://www.mathnet.ru/eng/ufa314https://doi.org/10.13108/2016-8-1-13 https://www.mathnet.ru/eng/ufa/v8/i1/p15
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Abstract page: | 473 | Full-text PDF : | 102 | References: | 49 |
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