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517.968.2 (5) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 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 | ||||||
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CZU: 517.968.2 | ||||||
MSC 2010: 45G15, 45G05, 65R20. | ||||||
Pag. 54-73 | ||||||
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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. |
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Cuvinte-cheie System of integral equations, nonlinearity, singularity, iterations, solution limit, boundary value problem, pointwise convergence . |
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