Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 38, pp. 1-9.

Title: Deficiency indices of a differential operator satisfying
       certain matching interface conditions

Authors: Pallav Kumar Baruah (Sri Sathya Sai Inst., Prasanthinilayam, India)
         M. Venkatesulu (Arulmigu Kalasalingam College, India)
 
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.