Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low and high frequency approximations to eigenvibrations of string with
  double contrasts   We study eigenvibrations for inhomogeneous string consisting of two parts
with strongly contrasting stiffness and mass density. In this work we treat a
critical case for the high frequency approximations, namely the case when the
order of mass density inhomogeneity is the same as the order of stiffness
inhomogeneity, with heavier part being softer. The limit problem for high
frequency approximations depends nonlinearly on the spectral parameter. The
quantization of the spectral semiaxies is applied in order to get a close
approximations of eigenvalues as well as eigenfunctions for the prime problem
under perturbation.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th