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PARAMETRIC VIBRATIONS AND RESONANCE

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Abstract (2. Language): 
System of linear diuerential equations with periodic coefficients depending on some parameters is exanxined in this paper,For small changing of parameters the monodromy matrix and its eigenvalues are constructed.We consider the problem of stability of trivial solution of the damped Hill equation and obtain the domains of stability in the space of parameters. Results are used for the problems of dynamic stability of viscoelastic systems, columns and triangle plates.
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