Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, Number 2, Pages 54–73
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
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.
PDF file (197 kB)
MSC: 45G15, 45G05, 65R20
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
\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.
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