On the uniform convergence of spectral expansions in a problem for the Laplace operator on the square with spectral parameter in the boundary condition

Author： Kapustin N.  

Publisher： MAIK Nauka/Interperiodica

ISSN： 0012-2661

Source： Differential Equations, Vol.49, Iss.10, 2013-10, pp. : 1227-1232

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Abstract

We consider a classical spectral problem that arises when studying the natural vibrations of a loaded rectangular membrane. We establish conditions ensuring the uniform convergence of spectral expansions in the selected Riesz basis and in the entire system of eigen-functions.

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