In this work, we consider a class of initial boundary value problems for fourth-order dispersive wave equations with superlinear damping and non-local source terms as well as timedependent coefficients in Ω × (t > 0), where Ω is a bounded domain in RN and N ≥ 2. We prove that there exists a safe time interval of existence in the solution [0, T], with T being a lower bound of the blowup time t∗. Moreover, we find an explicit lower bound of t∗, assuming the coefficients are positive constants.
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