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WOS:000730954300001 We consider a quasilinear coupled system of two viscoelastic equations with degenerate damping and source terms under Dirichlet boundary condition. We obtain the global existence, blow up and exponential growth of solutions under some restrictions on the initial data, relaxation functions and degenerate damping terms.

For one spatial variable, a new kind of nonlinear wave equation for Emden-Fowler type is considered with boundary value null and initial values. Under certain conditions on the initial data and the exponent p, we exhibit that the visco-elastic term leads our problem to be dissipative and the global solutions still non-exist in L2 at given finite time.