Spectral analysis of boundary value problems with retarded argument

Анотація

In this work we find asymptotic formulas for eigenvalues and eigenfunctions of a Sturm-Liouville type problem with retarded argument which contains a spectral parameter in the boundary conditions and with discontinuous weight function and also we obtain bounds for the distance between eigenvalues. We extend and generalize some approaches and results of the [S. B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI (1972)].