High frequency asymptotics of global vibrations in a problem with concentrated mass

Details High frequency asymptotics of global vibrations in a problem with concentrated mass High frequency asymptotics of global vibrations in a problem with concentrated mass

2008-04-16

arxiv.org/abs/0804.2655v1

N.Babych, High frequency asymptotics of global vibrations in a problem with concentrated mass, Math. Methods & Phys - Mech. Fi

Mathematics

Spectral Theory

9 pages; published in Ukrainian (1999)

Scientific paper

We consider an elastic system containing a small region where the density is
very much higher then elsewhere. Such system possesses two types of
eigenvibrations, which are local and global vibrations. Complete asymptotic
expansions of global eigenvibrations for ordinary differential operator of the
fourth order are constructed using WKB--technique.

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