Some properties of the spectral function for the Sturm-Liouville operator with discontinuous coefficients. (Russian)статья
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:568
Последняя страница:574
Аннотация:We consider an eigenfunction problem for a differential Sturm-Liouville operator defined on the intervals (a,x0) and (x0,b) in R; the point x0 in the interval (a,b) is a point of discontinuity of the coefficients of the above-mentioned operator. The system of eigenfunctions of this operator is a complete orthonormalized system with weight s(x) in the space L 2,s (a,b). We establish an estimate for the primitive of the difference of the spectral function θ(x,y,μ) of the operator, and a function θμ(y) of special form in the variable y, at the point x0.