Existence result for a nonlinear nonlocal system modeling suspension bridges

Abstract

A nonlinear nonlocal partial di erential system modeling suspension bridge is considered. We analyze the well-posedness of the “hyperbolic” type system through a Galerkin procedure. A correspond linear problem admits a unique solution, which makes us find that the original system also has a solution with high regularity.

Keywords

• nonlinear nonlocal system| suspension bridge