Dissipative development equation is a kind of equations which have important applications in physics and mechani-cal fields.For this kind of equations,the existence and convergence of the solutions are proved by prior estimation and energy meth-od.In this paper,a common convergence theorem is given in the estimation of the convergence rates of the equation with dissipative development equation,concrete proof process is given.Finally,the effectiveness of the method is verified by an example.
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