Spectral Properties of a Singular Differential Operator on an Interval with Transmission ConditionsстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 20 февраля 2024 г.
Аннотация:We study the first boundary value problem for a second-order differential operator with a singular coefficient on an interval with transmission conditions at an interior point.Asymptotic formulas are obtained for the eigenfunctions and eigenvalues of both the originaland the adjoint operator. The completeness and unconditional basis property of the eigenfunction systems of these operators in the space of square integrable functions on the interval areestablished. Il’in’s method and Il’in’s conditions are applied to establish the Bessel inequality.