Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Theory for Second-Order Vector Equations on Finite Time-Varying
  Domains   In this study, we are concerned with spectral problems of second-order vector
dynamic equations with two-point boundary value conditions and mixed
derivatives, where the matrix-valued coefficient of the leading term may be
singular, and the domain is non-uniform but finite. A concept of
self-adjointness of the boundary conditions is introduced. The self-adjointness
of the corresponding dynamic operator is discussed on a suitable admissible
function space, and fundamental spectral results are obtained. The dual
orthogonality of eigenfunctions is shown in a special case. Extensions to
even-order Sturm-Liouville dynamic equations, linear Hamiltonian and symplectic
nabla systems on general time scales are also discussed.

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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con