Schemes of Experiments to Determine the Kernels of Some Difference-Type Operators for Media with a Non-Relaxing Volume

In the framework of integral constitutive relations for linear isotropic viscoelastic media with difference-type kernels in the case of a non-relaxing volume, we propose possible experimental setups for determining the kernels of the Ilyushin operators g(sic)(beta), supplementing the known methods. One of them is based on the use of a sample of an auxiliary viscoelastic solid, the material functions of which are related to the creep function and bulk modulus of the initial material. Similar schemes of the experimental setup are also proposed for finding the kernels of the operators h(sic)(gamma), which are conjugate to g(sic)(beta) in a certain sense.