Barreto, Rioco K.de Caldas, Cruz S. Q.Gamboa, PedroLimaco, Juan2021-04-122021-04-122004-03-11Barreto, R. K., de Caldas, C. S. Q., Gamboa, P., & Limaco, J. (2004). Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary. <i>Electronic Journal of Differential Equations, 2004</i>(35), pp. 1-12.1072-6691https://hdl.handle.net/10877/13363In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalBenjamin-Bona-Mahony equationRosenau equationNoncylindrical domainsArticle