Abstract
The present paper gives a comparative analysis of spectral properties of two hyperbolic systems in a bounded plane domain. The basis property of systems of eigenelements is widely used in the construction of explicit solutions of boundary value problems in the form of biorthogonal series in the corresponding systems; thus special attention is paid in our investigations to this problem of spectral theory. The main results of the present paper are the following: (1 ◦ ) the study of the spectrum structure and (2 ◦ ) the analysis of properties of vector eigenfunctions: completeness, minimality, basis property, and conditional basis property. It is noteworthy that the systems of equations that we study have different spectral characteristics.
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