ON QUALITATIVE PROPERTIES OF A SOLUTION OF ONE CLASS SINGULAR INTEGRAL EQUATIONS ON THE WHOLE LINE WITH ODD NONLINEARITY

A class of nonlinear singular integral equations on the whole line is considered. This for specific representations nonlinearity and kernel arises in dynamic theory p-adic strings, mathematical pandemic spread within framework modified Diekmann-Kapper model, radiative transfer nonhomogeneous medium kinetic gases. In this paper we will investigate reveal new qualitative properties solution above mentioned equations. Relying these as well some geometric inequalities convex downward functions prove uniqueness bounded whose infimum a positive number. At end present examples such equations, satisfying all restrictions proven statements.