Geodesic
Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 42-53

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In this paper, in spaces of functions square summable on finite intervals we study the one-fold completeness 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.
Keywords: multiple completeness, one-fold completeness, eigen- and associated functions, pencil of ordinary differential operators. 
@article{IVM_2009_6_a5,
     author = {V. S. Rykhlov},
     title = {Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--53},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a5/}
}
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V. S. Rykhlov. Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 42-53. http://geodesic.mathdoc.fr/item/IVM_2009_6_a5/