The stability of motion of a stochastic viscoelastic system
The sufficient conditions for stability are obtained for the null solution of a system of integro-differential equations under rather general assumptions on the kernels of the integral operators and the form of the stochastic coefficients. Similar conditions of stability are also found for the case of an exponential kernel and stochastic coefficients in the form of Gaussian white noise in order to find a broader stability domain in the system parameter space. The stability of a viscoelastic system is considered in probabilistic terms.
system of integro-differential equations
scientific article; zbMATH DE number 525544