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

Autor:	N. G. Khoma
Rok vydání:	1998
Předmět:	General Mathematics Operator (physics) Mathematical analysis Order (group theory) Boundary value problem Algebra over a field Hyperbolic partial differential equation Periodic problem Nonlinear operators Mathematics
Zdroj:	Ukrainian Mathematical Journal. 50:1917-1923
ISSN:	1573-9376 0041-5995
Popis:	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 whose right-hand side is a nonlinear operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f91be5c0b25c114710395ea4287811c4 https://doi.org/10.1007/bf02514207 Zobrazit plný text záznamu Full text from SpringerLink