Valdenilza Ferreira Silva and Carvalho Ricardo Rodrigues and Manuel Milla Miranda: On a beam equation in Banach spaces. (2016)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2016 |
| Number: | 110 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-24 |
| Uncontrolled Keywords: | Banach tér |
| Additional Information: | Bibliogr.: p. 23-24. ; Összefoglalás angol nyelven |
| Date Deposited: | 2018. Nov. 06. 11:15 |
| Last Modified: | 2020. Jul. 29. 13:11 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55450 |
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