Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings
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DOI: 10.1007/s10474-018-0824-9
Abstract: The Dirichlet eigenvalues $${\{\lambda_{n}\}_{n=1}^{\infty}}$${λn}n=1∞ and Neumann eigenvalues $${\{\mu_{n}\}_{n=1}^{\infty}}$${μn}n=1∞ of the string equation $${\varphi'' (x) +\lambda \rho (x) \varphi(x) =0}$$φ′′(x)+λρ(x)φ(x)=0 are considered. It is known that $${ \mu_{n} < \lambda_{n} < \mu_{n+2}}$$μn read more here.
Keywords: lambda; vibrating strings; neumann eigenvalues; eigenvalues vibrating ... See more keywords