THE LINEAR OSKOLKOV SYSTEM OF NON-ZERO ORDER IN THE AVALOS--TRIGGIANI PROBLEM

Abstract

The Avalos--Triggiani problem for a linear Oskolkov system of non-zero order and a system of wave equations is investigated. The mathematical model contains a linear Oskolkov system of non-zero order and a wave vector equation corresponding to some structure immersed in the Kelvin--Voight incompressible viscoelastic fluid.  The theorem of the existence of the unique solution to the Avalos--Triggiani problem for the indicated systems is proved using the method proposed by the authors of this problem. The results of this article generalize the results received earlier.