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

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.

Evans Mogoi is currently a Lecturer and head of Mathematics at Eregi Teachers Training College and also a part-time Lecturer of Pure Mathematics at Alupe university, University of Nairobi,Kisii University and Mount Kenya University.Evans holds masters degree (MSC in pure Mathematics) from Maseno University, a bachelors degree (BED Sciences) from Kampala International University, and a Diploma in Education Sciences from Kagumo Teachers Training College. His interests include training Mathematics teachers,Engineers and all other professionals that require Mathematics skills.He has developed (ALP) Active Learning Program used in classroom when teaching Mathematics and won the Lecturer Awards from Eregi Teachers Training College and also from the University of Amsterdam(Netherlands) in 2015 and 2017 respectively.