Ugurlu, EkinUğurlu, Ekin2020-11-112020-11-112020Uğurlu, 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).0126-67052180-4206https://doi.org/10.1007/s40840-018-0696-8In 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.eninfo:eu-repo/semantics/closedAccessThird-Order OperatorExtensionDilationSpectral AnalysisArticle43145347010.1007/s40840-018-0696-82-s2.0-85069822379WOS:000526822700027Q2Q1