In this paper, we study the qualitative behavior of a fifth order scalar partial differential
equation arising in the framework of the small amplitude motion approximation for prestressed
non-linear viscoelastic materials of first grade. We establish existence, uniqueness,
regularity and exponential decay of the solutions. Moreover, we study the role of
the various constitutive inequalities in the stability and instability of the solutions.
Quintanilla, R.; Saccomandi, G. Some qualitative properties for the equations of pre-stressed viscoelastic solids. "Mechanics research communications", Juliol 2009, vol. 36, núm. 5, p. 547-555.