Continuous dependence of a beam equation with products of two nonlinear components
摘要
In this paper, we study a beam equation that contains damping and source terms given by the product of two nonlinear components. By applying linearization techniques, the Faedo–Galerkin method, and arguments of compactness, the results of the existence and uniqueness of the problem are established. Further, under several appropriate assumptions, we prove that the solution continuously depends on the nonlinear components involved in the problem.