@article {10.3844/jmssp.2011.28.36, article_type = {journal}, title = {On Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary Conditions}, author = {Al-Harbi, S. M.}, volume = {7}, year = {2011}, month = {Jan}, pages = {28-36}, doi = {10.3844/jmssp.2011.28.36}, url = {https://thescipub.com/abstract/jmssp.2011.28.36}, 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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }