2019
Том 71
№ 11

All Issues

Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations

Il'kiv V. S., Ptashnik B. I.

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Abstract

We study the boundary-value problem for a system of partial differential equations with constant coefficients with conditions nonlocal in time. By using a metric approach, we prove the well-posedness of the problem in the scale of Sobolev spaces of functions periodic in space variables. By using matrix calculus, we construct an explicit representation of a solution.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 2, pp 207-219.

Citation Example: Il'kiv V. S., Ptashnik B. I. Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations // Ukr. Mat. Zh. - 1996. - 48, № 2. - pp. 184-194.

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