Abstract
In this paper, the asymptotic behavior of the solution to the initial–boundary value problem for a nonlinear evolution equation of fourth order (1) u t t − a 1 u x x − a 2 u x x t − a 3 u x x t t = φ ( u x ) x is studied. The sufficient conditions for blow-up of the solutions to the initial–boundary value problems for Eq. (1) are given.
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