Generalized periodic solutions of quasilinear equations

• Datum: 1996
• Hauptverfasser: Khoma, N. H., Khoma, L. G., Хома, H. Г., Хома, Л. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5337
• Назва журналу: 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.