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Generalized Equation for the Force-Frequency Characteristics of Circular Quartz Plates

โœ Scribed by Oura, N.; Kuramochi, N.; Mayazaki, Y.; Yamashina, M.; Suzuki, S.


Book ID
114597517
Publisher
Institute of Electrical and Electronics Engineers
Year
1985
Weight
384 KB
Volume
32
Category
Article
ISSN
0018-9537

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Generic simplicity of the eigenvalues fo
โœ Marcone C. Pereira ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 288 KB

In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).