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 Bul. Acad. Ştiinţe Repub. Mold. Mat.: Year: Volume: Issue: Page: Find

 Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, Number 2, Pages 54–73 (Mi basm476)

Research articles

On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis

Kh. A. Khachatryana, S. M. Andriyanb, A. A. Sisakyanb

a Institute of Mathematics of National Academy of Sciences of RA, 24/5, Marshal Baghramian pr., Yerevan 0019, Armenia
b Armenian National Agrarian University, 74, Teryan St., Yerevan 0009, Armenia

Abstract: We investigate a class of boundary value problems for systems of convolution type integral equations on the whole axis with power nonlinearity. These problems have a direct application in the $p$-adic theory of open-closed strings. We prove the existence of odd rolling solutions to the problems. We also establish the integral asymptotic for the constructed solutions. The results are illustrated by examples of the equations under consideration.

Keywords and phrases: system of integral equations, nonlinearity, singularity, iterations, solution limit, boundary value problem, pointwise convergence.

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Document Type: Article
MSC: 45G15, 45G05, 65R20
Language: English

Citation: Kh. A. Khachatryan, S. M. Andriyan, A. A. Sisakyan, “On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 2, 54–73

Citation in format AMSBIB
\Bibitem{KhaAndSis18} \by Kh.~A.~Khachatryan, S.~M.~Andriyan, A.~A.~Sisakyan \paper On the solvability of a~class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis \jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat. \yr 2018 \issue 2 \pages 54--73 \mathnet{http://mi.mathnet.ru/basm476}