Basis Properties of Root Functions of a Vibrational Boundary Value Problem with Boundary Conditions Depending on the Spectral Parameter
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1134/S0012266120080017.pdf
Reference17 articles.
1. Russakovskii, E.M., Operator treatment of a boundary value problem with spectral parameters entering via polynomials in the boundary conditions, Funct. Anal. Its Appl., 1975, vol. 9, no. 4, pp. 358–359.
2. Kapustin, N.Yu. and Moiseev, E.I., The basis property in $$L_p $$ of the systems of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition, Differ. Equations, 2000, vol. 36, no. 10, pp. 1498–1501.
3. Kapustin, N.Yu. and Moiseev, E.I., A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition, Differ. Equations, 2001, vol. 37, no. 12, pp. 1677–1683.
4. Kapustin, N.Yu., On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends, Differ. Equations, 2005, vol. 41, no. 10, pp. 1490–1492.
5. Kapustin, N.Yu., On the uniform convergence in $$C^1 $$ of Fourier series for a spectral problem with squared spectral parameter in a boundary condition, Differ. Equations, 2011, vol. 47, no. 10, pp. 1408–1413.
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