Functional Model of Dissipative Fourth Order Differential Operators
نویسنده
چکیده
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.
منابع مشابه
Non–self–adjoint Fourth–order Dissipative Operators and the Completeness of Their Eigenfunctions
A class of non-self-adjoint fourth order differential operators with general separated boundary conditions in Weyl’s limit circle case is studied. The dissipation property of the considered operators in L2[a,b) is proven by analysis and by using the characteristic determinant, the completeness of the system of eigenfunctions and associated functions of these dissipative operators also be proven...
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