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On the solutions for an extensible beam equation with internal damping and source terms

On the solutions for an extensible beam equation with internal damping and source terms

In this manuscript, we consider the nonlinear beam equation with internal damping and source termwhere r > 1 is a constant, M(s) is a continuous function on [0,+∞) .The global solutions are constructed by using the Faedo-Galerkin approximations, taking into account that the initial data is in appropriate set of …