Finite linear theory of viscoelastic generalized thermorheologically simple ferromagnets

A finite linear theory of viscoelastic generalized thermorheologically simple ferromagnets is constructed with allowance for nonuniform exchange, when the derivative with respect to intrinsic time is an arbitrary functional of the independent field variables and their derivatives. Free energy is treated as an arbitrary functional of the past history of these variables. Specific constitutive equations are presented for such a model. Variants of the history of the variables are also examined for the case when a small nonsteady perturbation is superimposed on the steady state.