2018•Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)Requires access

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

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.

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Key concepts: Mathematics, Bounded function, Nonlinear system, Mathematical analysis, Line (geometry), Integral equation, Half line, Applied mathematics