On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axiss
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517.968.2 (5)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
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KHACHATRYAN, Kh, ANDRIYAN, S., SISAKYAN, A.. On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axiss. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 54-73. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

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

CZU: 517.968.2
MSC 2010: 45G15, 45G05, 65R20.

Pag. 54-73

Khachatryan Kh1, Andriyan S.2, Sisakyan A.2
 
1 Institute of Mathematics of National Academy of Sciences, Armenia,
2 Armenian National Agrarian University
 
 
Disponibil în IBN: 2 decembrie 2018


Rezumat

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.

Cuvinte-cheie
System of integral equations, nonlinearity, singularity, iterations, solution limit, boundary value problem, pointwise convergence .