The following problem is considered: where Ξ» is a spectral parameter. The inverse problem is studied: a subsequence Ξ» n β +β of the sequence of eigenvalues is given and odd f is the unknown quantity. A description of the whole class of solutions of this problem is obtained. In addition, it is prove
On a correction of Numerov-like eigenvalue approximations for Sturm-Liouville problems
β Scribed by G. Vanden Berghe; H. De Meyer
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 546 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A nonlinear spectral problem for a Sturm -Liouville equation The spectral parameter X is varying in an interval A and p ( z , A), q(s, A) are real, continuous functions on [a, b] x A. Some criteria to the eigenvalue accumulation at the endpoints of A will be established. The results are applied to
This paper is concerned with the eigenvalues of Sturm-Liouville problems with periodic and semi-periodic boundary conditions to be approximated by a shooting algorithm. The proposed technique is based on the application of the Floquet theory. Convergence analysis and a general guideline to provide s
Let \(\lambda_{n}(q)\) be the \(n\)th eigenvalue of the Sturm-Liouville equation \(y^{\prime \prime}+(\lambda-q(x)) y=0\), \(y(-l / 2)=y(l / 2)=0\). With certain restrictions on the class of functions \(q\) we determine the shapes of the solutions of the extremal problems for the functionals \(\lamb