2019
Том 71
№ 11

All Issues

Botsenyuk А. N.

Articles: 3
Article (Ukrainian)

Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity

Botsenyuk А. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2000. - 52, № 4. - pp. 435-446

For a semilinear system of equations of thermoelasticity, we establish a theorem on the existence and uniqueness of global solutions in a multidimensional space under the condition that the initial data are sufficiently small. We also obtain estimates for the decrease of solutions as time increases.

Article (Ukrainian)

Global solutions of a two-dimensional initial boundary-value problem for a system of semilinear magnetoelasticity equations

Botsenyuk А. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1996. - 48, № 2. - pp. 161-167

We prove the theorem on the existence and uniqueness of global solutions of a system of semilinear magnetoelasticity equations in a two-dimensional space.

Article (Ukrainian)

On the solvability of the initial- and boundary-value problem for the system of semilinear equations of magnetoelasticity

Botsenyuk А. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1181–1186

An existence theorem is obtained for the system of semilinear equations of magnetoelasticity. The asymptotic behavior of the solutions over time is established.