About asymptotics of the eigenvalues of model boundary problem for the family of differential operators with summable potential

The model boundary value problem for a family of differential operators with separated boundary conditions with a summable potential is studied. The asymptotic of solutions of the corresponding differential equations for large values of the spectral parameter is deduced. The equation for the eigenvalues of the studied operators is obtained. The asymptotics of the eigenvalues of the studied family of differential operators is analyzed.