Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem

• Datum: 1998
• Hauptverfasser: Khoma, N. H., Хома, H. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4787
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In three spaces, we find exact classical solutions of the boundary-value periodic problem utt - a2uxx = g(x, t) u(0, t) = u(π, t) = 0, u(x, t + T) = u(x, t), x ∈ ℝ, t ∈ ℝ. We study the periodic boundary-value problem for a quasilinear equation whose left-hand side is the d’Alembert operator and whos...