Spectral properties of a Sturm-Liouville type differential operator with a retarding argument |
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Authors: | S. I. Mitrokhin |
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Affiliation: | 1. Research Computing Center, Moscow State University, Leninskie Gory, Moscow, 119991, Russia
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Abstract: | Spectral properties of a differential operator of Sturm-Liouville type are studied in the case of retarding argument with different boundary conditions. The asymptotics of solutions to the corresponding differential equation is studied in the case of a summable potential. An asymptotics of eigenvalues and an asymptotics of eigenfunctions of the differential operator are calculated for each considered case. |
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