2017
Том 69
№ 9

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Existence of the Vejvoda-Shtedry spaces

Botyuk A. O., Khoma G. P., Khoma L. G.

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Abstract

We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 2, pp 334-341.

Citation Example: Botyuk A. O., Khoma G. P., Khoma L. G. Existence of the Vejvoda-Shtedry spaces // Ukr. Mat. Zh. - 1997. - 49, № 2. - pp. 302–308.

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