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- W2783703466 abstract "In this paper we solve the minimization problem of the lowest eigenvalue for a vibrating beam. Firstly, based on the variational method, we establish the basic theory of the lowest eigenvalue for the fourth order measure differential equation (MDE). Secondly, we build the relationship between the minimization problem of the lowest eigenvalue for the ODE and the one for the MDE. Finally, with the help of this built relationship, we find the explicit optimal bound of the lowest eigenvalue for a vibrating beam." @default.
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- W2783703466 date "2018-01-01" @default.
- W2783703466 modified "2023-10-14" @default.
- W2783703466 title "Minimization of the lowest eigenvalue for a vibrating beam" @default.
- W2783703466 doi "https://doi.org/10.3934/dcds.2018085" @default.
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