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- W4252581311 abstract "The problem of small oscillations about a state of steady motion of a Lagrangian system is considered. Upper and lower bounds for the growth rates of unstable systems are obtained; sufficient conditions for instability are given for finite dimensional systems; an existence theorem for stable modes for systems with an infinite number of degrees of freedom is presented (valid when the operators are completely continuous in Hilbert space); and finally the orthogonality and completeness properties of the modes of stable finite dimensional systems are discussed." @default.
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- W4252581311 date "1967-03-01" @default.
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- W4252581311 title "Eigenvalue Problem for Lagrangian Systems" @default.
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- W4252581311 doi "https://doi.org/10.1063/1.1705227" @default.
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