Ukr. Mat. Zh. - 2006. - 58, № 3. - pp. 427–430
We propose an algorithm for the construction of asymptotic expansions for solutions of the Dirichlet problem for the heat equation with impulses.
Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
Ukr. Mat. Zh. - 2000. - 52, № 7. - pp. 923-930
We study a problem of linear viscoelasticity for the case where the relation between the Cauchy stress and strain tensors is described by a linear integral relation. Theorems on the existence and uniqueness of a solution of the problem are proved.
Ukr. Mat. Zh. - 1998. - 50, № 1. - pp. 143–147
We give conditions for an electromagnetic linear system of hereditary type under which the time-reversal hypothesis does not hold if the relaxation functions of the electromagnetic field have different behavior at the extremes of the interval of definition. Under the same conditions, it is also possible to prove that these functions are constant if they have the same behavior at the extremes of the interval of definition.