The dependence of the eigenvalues of the Sturm-Liouville problem on boundary conditions

Authors

  • T. N. Harutyunyan Yerevan State University, Department of Mathematics and Mechanics Author

Keywords:

Sturm-Liouville problem, eigenvalue, eigenvalues function, boundary conditions

Subjects:

34L20, 47E05

Abstract

We prove a new asymptotic formula for the eigenvalues of Sturm-Liouvilleproblem, which is a generalization of the known formulae andwhich takes into account the analytic dependence of the eigenvalueson boundary conditions.

Published

2008-10-15

Issue

Vol. 60 No. 4 (2008): Vol. 60, Issue 4

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.