On the Spectral Properties of Uryson Integral Equation Depended on Two Numerical Parameters

The generalization of the nonlinear integral equation of the Uryson type is considered, which consists in introducing two real numerical parameters into the integrant. This makes it possible to find in the given area multiple points of possible branching (bifurcation) of solutions in the form of spectral lines by solving a nonlinear two-parameter spectral problem.