Bak S. Equations of infinite chains of nonlinear oscillators: Cauchy problem, periodical solutions, travelling waves

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002384

Thesis Registration Form

0407U002384.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

17-05-2007

Specialized Academic Board

К 35.051.07

Essay

The thesis deals with infinite systems of differential equations that describe infinite chains of linearly coupled nonlinear oscillators. It is obtained the conditions of the existence and uniqueness of global solutions to the Cauchy problem, the conditions of the existence of periodical solutions and the conditions of the existence of travelling waves in the case of spatially homogeneous chains.

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Files

aref.doc

dis.doc

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