Deficiency Indices, Spectrum,Eigenvalues and Dichotomy Condition of Difference Operators Buchkatalog

Essay aus dem Jahr 2019 im Fachbereich Mathematik - Algebra, , Sprache: Deutsch, Abstract: Difference equations have been studied for many years. Actually, Sturm-Lioville equations and their discrete counterparts, Jacobi matrices are analyzed using similar and related methods. However much is needed to be done in terms of spectral theory in the discrete setting. Therefore, the objective of the study is to compute the deficiency indices, approximate the eigenvalues and establish the dichotomy condition of a Fourth Order Difference equation with Unbounded Coefficients on a Hilbert Space.