Extensions of a Minimal Third-Order Formally Symmetric Operator
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Date
2020
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Malaysian Mathematical Sciences Soc
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Abstract
In this paper, we consider some regular boundary value problems generated by a third-order differential equation and some boundary conditions. In particular, we construct maximal self-adjoint, maximal dissipative and maximal accumulative extensions of the minimal operator. Further using Lax-Phillips scattering theory and Sz.-Nagy-Foias characteristic function theory we prove a completeness theorem.
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Third-Order Operator, Extension, Dilation, Spectral Analysis
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Uğurlu, Ekin. "Extensions of a Minimal Third-Order Formally Symmetric Operator", BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, Vol. 43, No. 1, pp. 453-470, (2020).
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Volume
43
Issue
1
Start Page
453
End Page
470