2017
Том 69
№ 7

All Issues

Smooth solution of one boundary-value problem

Khoma N. H., Tsynalko P. V.

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Abstract

We study the boundary value problem for the quasilinear equation u u − uxx=F[u, ut], u(x, 0)= u(x, π)=0, u(x+w, t)=u(x, t), x ε ®, t ε [0, π], and establish conditions under which a theorem on the uniqueness of a smooth solution is true.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1932-1937.

Citation Example: Khoma N. H., Tsynalko P. V. Smooth solution of one boundary-value problem // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1712–1716.

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