Application of Wavelet Transform to Urysohn-Type Equations

This paper deals with convolution-type Urysohn equations of the first kind. Finding a solution for such is an ill-posed problem. For it to be solved, regularization algorithms and continuous wavelet transform are used. Similar Fourier transform, applied (based on transforms) unknown shift. The preferable cases approximated right-hand sides type 1 equations. We demonstrated that application Urysohn-type shift translates into nonlinear equation oscillating kernel. Depending availability priori information, combination iterative use close effective solving based equation.