| Autor: |
Valdenilza Ferreira Silva, Ricardo Rodrigues Carvalho, Manuel Milla Miranda |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 110, Pp 1-24 (2016) |
| ISSN: |
1417-3875 |
| DOI: |
10.14232/ejqtde.2016.1.110 |
| Popis: |
This paper is concerned with the existence and asymptotic behavior of solutions of the Cauchy problem for an abstract model for vertical vibrations of a viscous beam in Banach spaces. First is obtained a local solution of the problem by using the method of successive approximations, a characterization of the derivative of the nonlinear term of the equation defined in a Banach space and the Ascoli-Arzelà theorem. Then the global solution is found by the method of prolongation of solutions. The exponential decay of solutions is derived by considering a Lyapunov functional. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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