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

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)
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