Dichotomy Condition of Difference Operators

Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, , course: pure mathematics, language: English, abstract: The study of difference equations has avast history especially in relation to Sturm-Lioville equations and their discrete counterparts, Jacobi matrices, which have been analyzed using similar and related methods.However much is needed to be done in terms of spectral theory in the discrete setting. Therefore, in this study, we approximate the eigenvalues and establish the dichotomy condition of a Fourth Order Difference equation with Unbounded Co -efficients 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.