Dudik O. On small motions of a pendulum with a cavity partially filled with a capillary viscous fluid

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U006464

Thesis Registration Form

0411U006464.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-11-2011

Specialized Academic Board

К 52.051.10

Essay

The dissertation is devoted to research problems on small motions and normal oscillations of a pendulum with a cavity filled with a capillary viscous fluid or with some capillary viscous fluids. It is proved existence and uniqueness of the strong solution to initial boundary value problems. It is studied the spectrum. Corresponding system of root elements form Abel-Lidsky basis in some Hilbert space. The inversion Lagrange's theorem on stability is proved.

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