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

• Date: 1998
• Main Authors: Khoma, N. H., Хома, H. Г.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4787
• Journal Title: 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...