| Autor: |
Erhan Piskin, Ayse Fidan |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2017, Iss 242,, Pp 1-10 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article we consider the nonlinear Viscoelastic wave equations of Kirchhoff type $$\displaylines{ u_{tt}-M( \| \nabla u\| ^2) \Delta u+\int_0^{t}g_1( t-\tau )\Delta u( \tau ) d\tau +u_t =( p+1)| v| ^{q+1}| u| ^{p-1}u, \cr v_{tt}-M( \| \nabla v\| ^2) \Delta v+\int_0^{t}g_2( t-\tau ) \Delta v( \tau ) d\tau +v_t=( q+1) | u| ^{p+1}| v| ^{q-1}v }$$ with initial conditions and Dirichlet boundary conditions. We proved the global nonexistence of solutions by applying a lemma by Levine, and the concavity method. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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