Investigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrix

Uğurlu, EkinUğurlu, Ekin2020-04-292020-04-292019Uğurlu, Ekin, "Investigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrix", Quaestiones Mathematicae, (2019).1607-36061727-933Xhttps://hdl.handle.net/20.500.12416/3509In this paper, we consider a singular even-order Hamiltonian system on the union of two intervals together with appropriate boundary and transmission conditions. For investigating the spectral properties of the problem we pass to the inverse operator with an explicit form and we prove some completeness theorems.eninfo:eu-repo/semantics/openAccessHamiltonian SystemSpectral AnalysisTransmission ConditionInvestigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrixInvestigation of the Eigenvalues and Root Functions of the Boundary Value Problem Together With a Transmission MatrixArticle10.2989/16073606.2019.1581299