Abstract
In this paper, the spectral analysis of a singular dissipative fourth order differential operator in lim-4 case with finite transmission conditions is investigated. For this purpose, the inverse operator with explicit form is used. Finally, with the help of Livsic's theorem, it is proved that all root vectors of the fourth order dissipative operator in lim-4 case with finite transmission conditions are complete in the Hilbert space. Copyright © 2015 John Wiley & Sons, Ltd.
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