关键词: 黏弹性波动方程, 变指数, 能量解, 爆破性

Abstract: We considered the properties of  blowup of solutions of energy for a class of viscoelastic wave equations with variable\|exponents. By constructing an energy function, we studied the properties of the energy function, and used the obtained  results, Cauchy inequality and integral estimates to get the   properties of blowup of solutions of energy for a nonlinear wave equations with variableexponents in finite time.

Key words: solution of energy, variableexponent, property of blowup, viscoelastic wave equation