DESCRIPTION OF A SET OF SOLUTIONS OF A DISSIPATION 
INEQUALITY FOR THIRD-ORDER RELAXATION SYSTEMS
V. T. Borukhov and D. M. Zelenyak

UDC 517.938+536.7

For the class of linear dynamic systems indicated 
in the title, a variety of the third degree is determined and 
it is proved that the set of solutions of a dissipation 
inequality is characterized by a limited convex component of 
this variety. Singular varieties are determined, and the 
relationship between them and the maximum and minimum elements 
of the set of solutions for the dissipation inequality is 
established. The results obtained can find application in the 
theory of linear viscoelasticity and the theory of generalized 
thermodynamic systems with memory.

JEPTER7492020001
JEPTER749201