Deficiency indices of a differential operator satisfying certain matching interface conditions
Date
2005-03-29
Authors
Baruah, Pallav Kumar
Venkatesulu, M.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
A 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.
Description
Keywords
Ordinary differential operators, Green's formula, Deficiency index, Formal selfadjoint boundary-value problems, Boundary form, Deficiency space
Citation
Baruah, 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.
Rights
Attribution 4.0 International