A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line

Kh. A. Khachatryan; Ts. E. Terjyan; M. H. Avetisyan

doi:10.3103/S1068362318040027

A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line

Authors: Khachatryan K.A.¹, Terjyan T.E.², Avetisyan M.H.²
Affiliations:
1. Institute of Mathematics
2. Armenian National Agrarian University
Issue: Vol 53, No 4 (2018)
Pages: 201-211
Section: Integral Equations
URL: https://journal-vniispk.ru/1068-3623/article/view/228194
DOI: https://doi.org/10.3103/S1068362318040027
ID: 228194

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Abstract

A system of nonlinear integral equations with a convolution type operator arising in the p–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.