This article is cited in 1 paper

About the spectral problem arising from robotic manipulator mechanics

V. I. Voytitsky^a, M. Yu. Zlobina^b, E. P. Kubyshkin<sup>c

a</sup> Vernadskiy Tavricheskiy National University
^b SLAVNEFT-YANOS
^c P. G. Demidov Yaroslavl State University

Abstract: A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and the orthonormal system of the eigenfunctions is built up.

Keywords: spectral boundary problem, eigenfunctions, eigenvalues, characteristic equation.

UDC: 531.38

Received: 20.04.2009