Sturm-liouville problem for a differential equation of second order with discontinuous coefficients

Using, as an example, a special Sturm-Liouville boundary-value problem for a differential equation of second order with discontinuous coefficients, the authors describe a method of constructing a closed orthonormalized system of functions that is common to the entire domain of determination. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 4, pp. 748–753, July–August, 2000.