2019
Том 71
№ 11

All Issues

Saldina N. V.

Articles: 2
Article (Ukrainian)

Inverse problem for a parabolic equation with strong power degeneration

Ivanchov N. I., Saldina N. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2006. - 58, № 11. - pp. 1487–1500

We consider the inverse problem of determining the time-dependent coefficient of the leading derivative in a full parabolic equation under the assumption that this coefficient is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.

Brief Communications (Ukrainian)

Inverse problem for the heat equation with degeneration

Ivanchov N. I., Saldina N. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2005. - 57, № 11. - pp. 1563–1570

We consider the inverse problem of determining the time-dependent thermal diffusivity that is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.