Generalized periodic solutions of quasilinear equations

Research paper by L. G. Khoma, N. G. Khoma

Indexed on: 01 Mar '96Published on: 01 Mar '96Published in: Ukrainian Mathematical Journal


We study a boundary-value periodic problem for the quasilinear equationuff −uxx =F[u,ufux],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.