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A minimax principle for nonoverdamped systems. (English) Zbl 0288.15023

MSC:
15A42 Inequalities involving eigenvalues and eigenvectors
34G99 Differential equations in abstract spaces
70J30 Free motions in linear vibration theory
49R50 Variational methods for eigenvalues of operators (MSC2000)
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[1] Numerous references pertaining to the derivation, application, spectral properties, and completeness properties (for the infinite-dimensional case) of the system (1) can be found in references [2-4].
[2] Barston, E.M., Int. J. engng sci., 10, 947, (1972)
[3] Barston, E.M., J. math. phys., 8, 523, (1967)
[4] Eisenfeld, J., J. funct. anal., 12, 475, (1973)
[5] Duffin, R.J., Arch. ration. mech. analysis, 4, 221, (1955)
[6] Duffin, R.J., Q. appl. math., 18, 215, (1960)
[7] Rogers, E.H., Arch. ration. mech. analysis, 16, 89, (1964)
[8] Turner, R.E.L., J. math. analysis applic, 17, 151, (1967)
[9] Eisenfeld, J., J. funct. anal., 9, 777, (1972)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.