Integral geometry problems with perturbation on the plane (Q1358019)

The paper contains a uniqueness theorem for the integral equation \[ \int^y_0 [u(x+h,\eta)+u(x-h,\eta)\frac{d\eta}{\sqrt{y-\eta}}+\int^y_0\int^{x+k}_{x-h} K(x,y,\xi,\eta)u(\xi,\eta)d\xi d\eta=f(x,y), \] where \(h=\sqrt{y-\eta}\) and \(K(x,y,\xi,\eta)=0\) for \(|\xi+x|\geq h\).