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 ≤x ≤π,t ∈ ℝ,q ∈ ℕ. We establish conditions under which the theorem on the uniqueness of a smooth solution is true.
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References
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Khoma, L.G., Khoma, N.G. Generalized periodic solutions of quasilinear equations. Ukr Math J 48, 453–459 (1996). https://doi.org/10.1007/BF02378534
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DOI: https://doi.org/10.1007/BF02378534