Regularization of the boundary-value problem for Sturm-Liouville equations with operator-valued coefficients

A regularization method is used to find an approximate solution to the inhomogeneous boundary-value problem –y(t)+Ay(t)=y(t)+h(t), t 0, b], cos CY–sin CY= where A is a self- adjoint unbounded operator on a Hilbert space H; C is an operator on H H; H H; h(t) L ₂ (H, (0, b)); Y, Y are regularizing boundary values of y (t).Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 23–28, 1989.