Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity.

This paper is concerned with extensible beams with nonlocal frictional damping and polynomial nonlinearity. By using semigroup theory, potential well method, and energy method, the well-posedness and the conditions on global existence and finite time blow-up of solutions are studied. Moreover, the upper bound of blow-up time is also given by using ordinary differential inequalities. [ABSTRACT FROM AUTHOR]