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Ufa Mathematical Journal, 2016, Volume 8, Issue 1, Pages 13–19
DOI: https://doi.org/10.13108/2016-8-1-13 (Mi ufa314) 		 
This article is cited in 3 scientific papers (total in 3 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
English full-text Citations (3) Russian version article
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DOI: https://doi.org/10.13108/2016-8-1-13
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.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 15Т-1А033
The work is financially supported by SCS MOS RA in the framework of scientific project no. SCS 15T-1A033.
Received: 31.08.2015
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 45GXX, 45G05
Language: English
Original paper language: Russian
Citation: H. H. Azizyan, Kh. A. Khachatryan, “One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein–Volterra equations”, Ufa Math. J., 8:1 (2016), 13–19
Citation in format AMSBIB
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\by H.~H.~Azizyan, Kh.~A.~Khachatryan
\paper One-parametric family of positive solutions for a~class of nonlinear discrete Hammerstein--Volterra equations
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 1
\pages 13--19
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\crossref{https://doi.org/10.13108/2016-8-1-13}
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  • https://doi.org/10.13108/2016-8-1-13
  • https://www.mathnet.ru/eng/ufa/v8/i1/p15
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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