Pallav Kumar Baruah, M. Venkatesulu
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.
Submitted October 7, 2004. Published March 29, 2005.
Math Subject Classifications: 34B10.
Key Words: Ordinary differential operators; Green's formula; deficiency index;
formal selfadjoint boundary-value problems; boundary form; deficiency space.
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Pallav Kumar Baruah Department of Mathematics and Computer Science Sri Sathya Sai Institute of Higher Learning Prasanthinilayam, India email: baruahpk@yahoo.com |
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M. Venkatesulu Department of Computer Applications Arulmigu Kalasalingam College of Engineering Krishnankoil-626190. Virudhunagar (District), Tamil Nadu, India email: venkatesulu_m2000@yahoo.co.in |
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