Journal of Mathematics and Statistics

On Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary Conditions

S. M. Al-Harbi

DOI : 10.3844/jmssp.2011.28.36

Journal of Mathematics and Statistics

Volume 7, Issue 1

Pages 28-36

Abstract

Problem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe obtain eigenvalue enclosures in a simple way. Conclusion/Recommendations: We give some numerical examples and makecompanions with existing results.

Copyright

© 2011 S. M. Al-Harbi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.