Completeness of Eigenfunctions of One Class of Pencils of Differential Operators with Constant Coefficients

摘要

In spaces of functions square summable on finite intervals we study the simple com-pleteness of the system of eigen- and associated functions for the pencil of ordinary differential operators generated by a differential expression with constant coefficients (we assume that the roots of the corresponding characteristic equation lie on one and the same ray) and specific semisplitting homogeneous boundary value conditions.