Annotation
Strong interest to periodic structure acoustical analysis was arisen in second half of 20th century. After classical work by Leon Brillouin a plenty of research has been done. Nevertheless, in periodic structures research area there is lack of mathematically strict papers. In the paper connection between infinite waveguide and its finite part is considered within the frame of several widely used in acoustics differential operators example.
Received: 2017 July 4
Approved: 2017 October 17
PACS:
02.30.Hq Ordinary differential equations
43.20.Bi Mathematical theory of wave propagation
43.20.Bi Mathematical theory of wave propagation
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A. A. Hvatov
$^1$Saint Petersburg State Marine Technical University
$^1$Saint Petersburg State Marine Technical University
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