Functional Model of Dissipative Fourth Order Differential Operators
2013 ◽
Vol 21
(2)
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pp. 237-252
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Keyword(s):
Abstract In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators. We also construct a functional model of the maximal dissipative operator which based on the method of Pavlov and define its characteristic function. We prove theorems on the completeness of the system of eigenvalues and eigenvectors of the maximal dissipative fourth order operators.
2014 ◽
Vol 51
(3)
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pp. 366-383
1970 ◽
Vol 9
(1)
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pp. 133-140
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1971 ◽
Vol s2-3
(1)
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pp. 96-100
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1997 ◽
Vol 127
(6)
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pp. 1113-1121
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2019 ◽
Vol 40
(16)
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pp. 1877-1897
2015 ◽
Vol 68
(3-4)
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pp. 501-518
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1975 ◽
Vol 27
(1)
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pp. 138-145
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2020 ◽
Vol 1600
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pp. 012081
Keyword(s):
2003 ◽
Vol 38
(10)
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pp. 989-1001
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1973 ◽
Vol s2-7
(1)
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pp. 135-146
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