Deficiency indices of a differential operator satisfying certain matching interface conditions

Date

2005-03-29

Authors

Baruah, Pallav Kumar
Venkatesulu, M.

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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.

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Attribution 4.0 International

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