Bounds for functions of eigenvalues of vibrating systems

DOI10.1016/0022-247X(75)90144-4zbMath0307.34018MaRDI QIDQ1218080

D. O. Banks, Rodney D. Gentry

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (9)

On the first two eigenvalues of Sturm-Liouville operators ⋮ On the minimum eigenvalue gap for vibrating string ⋮ Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem ⋮ Extrema of functions of eigenvalues ⋮ The existence and extremal characterization of eigenvalues for an \(n\)-th order multiple point boundary value problem ⋮ On frequencies of strings and deformations of beams ⋮ Eigenvalues of elliptic operators with density ⋮ Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues ⋮ On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam

Cites Work

• Bounds for the eigenvalues of some vibrating systems
• Upper bounds for the eigenvalues of some vibrating systems
• Bounds for the ratios of the first three membrane eigenvalues
• Bounds for eigenvalues and generalized convexity
• Lower bounds for the eigenvalues of a vibrating string whose density satisfies a Lipschitz condition
• On symmetric membranes and conformal radius: Some complements to Polya's and Szegö's inequalities
• Some isoperimetric inequalities for the eigenvalues of vibrating strings
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• On the Ratio of Consecutive Eigenvalues
• Extremal problems for a class of functionals defined on convex sets
• On the Ratio of Consecutive Eigenvalues in N‐Dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bounds for functions of eigenvalues of vibrating systems