2019
Том 71
№ 8

All Issues

Generalized periodic solutions of quasilinear equations

Khoma L. G., Khoma N. H.

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Abstract

We study a boundary-value periodic problem for the quasilinear equationu ff u xx =F[u,u f u x ],u(0,t) =u (π,t),u (x, t + π/q) =u(x, t), 0 ≤xπ,t ∈ ℝ,q ∈ ℕ. We establish conditions under which the theorem on the uniqueness of a smooth solution is true.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 3, pp 453-459.

Citation Example: Khoma L. G., Khoma N. H. Generalized periodic solutions of quasilinear equations // Ukr. Mat. Zh. - 1996. - 48, № 3. - pp. 406-411.

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