Non-existence of solutions for a Timoshenko equations with weak dissipation
Mathematica Moravica, Tome 22 (2018) no. 2.

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In this paper, we consider the following Timoshenko equation $u_{tt}+\bigtriangleup ^{2}u-M\left( \left\Vert \nabla u\right\Vert^{2}\right) \bigtriangleup u+u_{t}=\left\vert u\right\vert ^{q-1}u$ associated with initial and Dirichlet boundary condition. We prove that the non-existence of solutions with positive and negative initial energy.
Mots-clés : Timoshenko equation, nonexistence, damping term 
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Erhan Pişkin; Hazal Yüksekkaya. Non-existence of solutions for a Timoshenko equations with weak dissipation. Mathematica Moravica, Tome 22 (2018) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_2_a0/