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Articles

On discreteness of the spectrum of a class of mixed-type singular differential operators

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Pages 1752-1763 | Received 03 Apr 2015, Accepted 30 Apr 2015, Published online: 11 Jun 2015

References

  • Everitt WN, Giertz M. Some inequalities associated with certain ordinary differential operators. Math. Z. 1972;126:308–326.
  • Everitt WN, Giertz M. Some properties of the domains of certain differential operators. Proc. London Math. Soc. (3). 1971;23:301–324.
  • Kato T. Perturbation theory for linear operators. Berlin: Springer-Verlag; 1966.
  • Molchanov AM. On conditions of the discrete spectrum of self-adjoint second-order differential equations. Trudy Mosc. Mat. Obshestva. 1953;2:169–200. Russia.
  • Mazya VG, Otelbaev M. On imbedding theorems, and the spectrum of a class of pseudo-differential operator. Sib. Math. J. 1977;18:1073–1087 . Russian.
  • Otelbaev M. Embedding theorems for spaces with a weight and their application to the study of the spectrum of the Schrodinger operator. Trudy Mat. Inst. Steklov. 1979;150:256–305 . Russian.
  • Boimatov KKh. Separability theorems, weighted spaces and their applications. Trudy Mat. Inst. Steklov. 1984;170:37–76 . Russian.
  • Muratbekov M. Two-sided estimates of the distribution function of s-values of a class of mixed type differential operators. Complex Variables Elliptic Equ. 2007;52:1121–1144.
  • Reed M, Simon B. Methods of modern mathematical physics. Vol. II, Fourier analysis, self-adjointness. New York (NY): Academic Press; 1975.
  • Akhieser NI, Glasman IM. Theory of linear operators in Hilbert space. Moscow: Nauka; 1966 . Russian. (Originally Published: New York (NY): F. Ungar Pub. Co., 1961–1963).
  • Otelbaev M. Estimates of the spectrum of the Sturm–Liouville operator. Almaty: Gylym; 1990 . Russian.

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