Oscillation matrices and kernels and small vibrations of mechanical systems. Translation based on the 1941 Russian original. Edited and with a preface by Alex Eremenko. Revised ed. (English) Zbl 1002.74002

Providence, RI: AMS Chelsea Publishing. viii, 310 p. (2002).
This volume is a revised version of an English translation of the second edition of a book originally published in 1941 in Russian. The second edition from 1950 has been reviewed by J. L. Massera (see Zbl 0041.35502). Here, according to the preface, one finds some minor changes in the terminology and additional references.


74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74H45 Vibrations in dynamical problems in solid mechanics
45B05 Fredholm integral equations
15B48 Positive matrices and their generalizations; cones of matrices
15A15 Determinants, permanents, traces, other special matrix functions
74K05 Strings
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
70J50 Systems arising from the discretization of structural vibration problems
15A18 Eigenvalues, singular values, and eigenvectors