Baruah, Pallav KumarVenkatesulu, M.2021-05-202021-05-202005-03-29Baruah, P. K., & Venkatesulu, M. (2005). Deficiency indices of a differential operator satisfying certain matching interface conditions. <i>Electronic Journal of Differential Equations, 2005</i>(38), pp. 1-9.1072-6691https://hdl.handle.net/10877/13612A pair of differential operators with matching interface conditions appears in many physical applications such as: oceanography, the study of step index fiber in optical fiber communication, and one dimensional scattering in quantum theory. Here we initiate the study the deficiency index theory of such operators which precedes the study of the spectral theory.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalOrdinary differential operatorsGreen's formulaDeficiency indexFormal selfadjoint boundary-value problemsBoundary formDeficiency spaceArticle