Geodesic
On Multiple Completeness of the Root Functions of a Certain Class of Pencils of Differential Operators with Constant Coefficients
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 574-584

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We consider the class of pencils of ordinary differential operators of $n$-th order with constant coefficients. It is assumed that the roots of the characteristic equation of pencils from this class are simple, non-zero and lie on the same straight line passing through the origin. Sufficient conditions for $n$-fold completeness of the system of root functions of the pencils from this class in the space of summable with square functions on the main segment are formulated. 
@article{ISU_2014_14_4_a11,
     author = {V. S. Rykhlov and O. V. Blinkova},
     title = {On {Multiple} {Completeness} of the {Root} {Functions} of a {Certain} {Class} of {Pencils} of {Differential} {Operators} with {Constant} {Coefficients}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {574--584},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a11/}
}
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V. S. Rykhlov; O. V. Blinkova. On Multiple Completeness of the Root Functions of a Certain Class of Pencils of Differential Operators with Constant Coefficients. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 4, pp. 574-584. http://geodesic.mathdoc.fr/item/ISU_2014_14_4_a11/