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

摘要

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.