Asymptotic finite-dimensional approximations for a class of extensible elastic systems
We consider the equation $ u_{tt}+\delta u_t+A^2u+{\lVert{A^{\theta/2} u}\rVert}^2A^\theta u = g $ where $ A^2 $ is a diagonal, self-adjoint and positive-definite operator and $ \theta \in [0, 1] $ and we study some finite-dimensional approximations of the problem. First, we analyze the dyna...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | Mathematics in Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2022025?viewType=HTML |