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J. Math. Comput. Sci. 5 (2015), 56–71

Resolution of the identity of the operator associated with a system of second order differential equations

Debasish Sengupta

Abstract

In this paper we determine the resolution of the identity of the operator LA generated by the matrix differential operator L under the general boundary conditions where s(x), t(x) are assumed to be greater than zero for x \in (a,b), a, b being finite or infinite.

Published
28 February 2015
Volume
5 (2015)
License
CC BY 3.0

Copyright © 2015 Debasish Sengupta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

D. Sengupta, Resolution of the identity of the operator associated with a system of second order differential equations, J. Math. Comput. Sci. 5 (2015), 56–71.

BibTeX
@article{Sengupta2015,
  author  = {Sengupta, Debasish},
  title   = {Resolution of the identity of the operator associated with a system of second order differential equations},
  journal = {J. Math. Comput. Sci.},
  volume  = {5},
  year    = {2015},
  pages   = {56--71},
  doi     = {}
}