%0 Journal Article %T Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary %A Rioco K. Barreto %A Cruz S. Q. De Caldas %A Pedro Gamboa %A Juan Limaco %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X In 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. %K Benjamin-Bona-Mahony equation %K Rosenau equation %K noncylindrical domains. %U http://ejde.math.txstate.edu/Volumes/2004/35/abstr.html