The authors prove the global finiteness of solutions for evolution p-Laplace equations with the use of the supsolution and subsolution method; and prove the global finiteness of solutions for evolution p-Laplace systems by using comparison principles of two ordinary differential equations.

A global finite element model of transverse vibration of circular solid beam with constrained layer damping is presented,and the effects of the physical parameters and geometric parameters on natural frequencies and modal loss factors are investigated,the comparison with three-dimensional finite element solution shows the feasibitity and applicable range of this approach.