Batyr E. Small oscillations of articulated gyrostats

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U006463

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-11-2011

Specialized Academic Board

К 52.051.10

Essay

The thesis work is devoted to the investigations of new initial-boundary value and spectral problems of the system of bodies' small movements, where bodies are gyrostats and they are connected into the system by means of consistent spherical linkage. Each gyrostat has a cavity, wholly filled by an ideal or viscous incompressible fluid. For this problem the theorem on strong solution of the initial-boundary value problem was proved. The normal oscillations qualities were described. The assertions about the completeness and basis properties of the system of root elements in the Pontryagin space were obtained.

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