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Spectral properties of boundary-value problem with a shift for wave equation

Nurgissa Yessirkegenov (UGent) and Makhmud Sadybekov
(2016) RUSSIAN MATHEMATICS. 60(3). p.41-46
Author
Organization
Abstract
We consider a differential operator determined by wave equation with potential in characteristic triangle, and boundary-value conditions with shift on the characteristics, and with oblique derivative on non-characteristic part of a boundary. We obtain condition for validity of the Volterra property, and show completeness of the root functions in the rest cases. We study basis property for the system of root functions under assumption that the potential depends on a single variable.
Keywords
General Mathematics, wave equation, Riesz basis, regular boundary conditions, eigenvalues, root functions, EIGEN

Citation

Please use this url to cite or link to this publication:

MLA
Yessirkegenov, Nurgissa, and Makhmud Sadybekov. “Spectral Properties of Boundary-Value Problem with a Shift for Wave Equation.” RUSSIAN MATHEMATICS, vol. 60, no. 3, 2016, pp. 41–46, doi:10.3103/s1066369x16030051.
APA
Yessirkegenov, N., & Sadybekov, M. (2016). Spectral properties of boundary-value problem with a shift for wave equation. RUSSIAN MATHEMATICS, 60(3), 41–46. https://doi.org/10.3103/s1066369x16030051
Chicago author-date
Yessirkegenov, Nurgissa, and Makhmud Sadybekov. 2016. “Spectral Properties of Boundary-Value Problem with a Shift for Wave Equation.” RUSSIAN MATHEMATICS 60 (3): 41–46. https://doi.org/10.3103/s1066369x16030051.
Chicago author-date (all authors)
Yessirkegenov, Nurgissa, and Makhmud Sadybekov. 2016. “Spectral Properties of Boundary-Value Problem with a Shift for Wave Equation.” RUSSIAN MATHEMATICS 60 (3): 41–46. doi:10.3103/s1066369x16030051.
Vancouver
1.
Yessirkegenov N, Sadybekov M. Spectral properties of boundary-value problem with a shift for wave equation. RUSSIAN MATHEMATICS. 2016;60(3):41–6.
IEEE
[1]
N. Yessirkegenov and M. Sadybekov, “Spectral properties of boundary-value problem with a shift for wave equation,” RUSSIAN MATHEMATICS, vol. 60, no. 3, pp. 41–46, 2016.
@article{8665915,
  abstract     = {{We consider a differential operator determined by wave equation with potential in characteristic triangle, and boundary-value conditions with shift on the characteristics, and with oblique derivative on non-characteristic part of a boundary. We obtain condition for validity of the Volterra property, and show completeness of the root functions in the rest cases. We study basis property for the system of root functions under assumption that the potential depends on a single variable.}},
  author       = {{Yessirkegenov, Nurgissa and Sadybekov, Makhmud}},
  issn         = {{1066-369X}},
  journal      = {{RUSSIAN MATHEMATICS}},
  keywords     = {{General Mathematics,wave equation,Riesz basis,regular boundary conditions,eigenvalues,root functions,EIGEN}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{41--46}},
  title        = {{Spectral properties of boundary-value problem with a shift for wave equation}},
  url          = {{http://doi.org/10.3103/s1066369x16030051}},
  volume       = {{60}},
  year         = {{2016}},
}
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