International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 789-797
doi:10.1155/S0161171295001013

Computation of Green's matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators

T. Gnana Bhaskar and M. Venkatesulu

Department of Mathematics, Sri Sathya Sai Institute of Higher Learning, Prasanthinilayam 515 134, India

Received 29 July 1991; Revised 15 January 1992

Copyright © 1995 T. Gnana Bhaskar and M. Venkatesulu. 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.

Abstract

An algorithm for the computation of Green's matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators is presented and two examples from the studies of acoustic waveguides in ocean and transverse vibrations in nonhomogeneous strings are discussed.