Generalized periodic solutions of quasilinear equations

• Date: 1996
• Main Authors: Khoma, N. H., Khoma, L. G., Хома, H. Г., Хома, Л. Г.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5337
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.