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Article information
2004 , Volume 9, Special issue, p.61-69
Kalmenov T.S., Shaldanbaev A.S., Rogovoy A.V.
The structure of spectral set of regular boundary value problems for differential equations
It is proved that the root vectors of the regular boundary value problems for arbitrary differential equations are either absent or have the infinite dimensionality. It shows that the free oscillations of mechanical bodies of an arbitrary nature have an infinite dimension. In particular, the criterion of completeness of the root vectors is obtained for the Trikomi problem on the equation of the mixed type. The existence of the non-smooth solutions for this problem in the case of the strong degeneracy is shown.
Author(s):
Kalmenov TSh.
Office: Physico-mathematical studies Centre Kazakh Republic
Address: Kazakhstan, Almatu
E-mail: kalmenov@cpmr.kz
Shaldanbaev ASh.
Office: South-Kazakhstan state university after Auezova
Address: Kazakhstan, Shimkent
Rogovoy A V
Office: South-Kazakhstan state university after Auezova
Address: Kazakhstan, Shimkent
Bibliography link:
Kalmenov T.S., Shaldanbaev A.S., Rogovoy A.V. The structure of spectral set of regular boundary value problems for differential equations // Computational technologies. 2004. V. 9. Special issue. P. 61-69
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