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Dynamic properties for nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions II |
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| Authors: | Fushan Li Shuai Xi Ke Xu Xiaomin Xue |
| Affiliation: | School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China,College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China,School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China and School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China |
| Abstract: | In this paper, we consider the nonlinear viscoelastic Kirchhoff-type equation with initial conditions and acoustic boundary conditions. Under suitable conditions on the initial data, the relaxation function $h(cdot)$ and $M(cdot)$, we prove that the solution blows up in finite time and give the upper bound of the blow-up time $T^*$. |
| Keywords: | Kirchhoff-type equation acoustic boundary condition blow-up. |
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