Publication | Closed Access
A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
87
Citations
7
References
1982
Year
Spectral TheoryEngineeringMechanical EngineeringGeometric Singular Perturbation TheoryFunctional AnalysisStabilityVibrationsMinimax CharacterizationOverdamping ConditionPde-constrained OptimizationNonlinear Hyperbolic ProblemNonlinear VibrationNonlinear ElasticityRayleigh FunctionalsMinimax PrincipleSingularly Perturbed ProblemNonlinear Eigenvalue ProblemsVibration ControlNonlinear Functional Analysis
Abstract The theory of Rayleigh functionals for non‐linear eigenvalue problems T (λ) u = 0 is extended to cases where the functional is defined only on a proper subset. The theory applies to problems which do not satisfy an overdamping condition and yields a minimax characterization of eigenvalues. Applications to damped free vibrations of an elastic body are discussed.
| Year | Citations | |
|---|---|---|
Page 1
Page 1