IMCS/Publications/BASM/Issues/BASM n.2(87), 2018/

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

Authors: Kh. A. Khachatryan, S. M. Andriyan, A. A. Sisakyan


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.

Kh. A. Khachatryan
Institute of Mathematics of National
Academy of Sciences of RA
24/5, Marshal Baghramian pr., Yerevan 0019, Armenia
E-mail: ,

S. M. Andriyan, A. A. Sisakyan
Armenian National Agrarian University
74, Teryan St., Yerevan 0009, Armenia
E-mail: ,


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