Abstract
The paper deals with the issues of stability of a circular ring
 compressed by uniformly distributed central forces in the
 presence of one-sided restrictions on displacements. In the
 second part of the article, the problem of oscillations of a ring
 supported by single-acting threads is solved. The problems
 are reduced to solving some variational problem under restrictions
 on the desired functions in the form of linear equations
 and inequalities
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