Asymptotic Condition and Deficiency Indices of Difference Operators

Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, , course: pure mathematics, language: English, abstract: Jacobi matrices together with Sturm-Liouville operators and have already been developed in parallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The main objective of this study is to compute the deficiency indices of Fourth order difference operator.

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.