Eigenvalues of second-order difference equations with coupled boundary conditions
โ Scribed by Huaqing Sun; Yuming Shi
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 171 KB
- Volume
- 414
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study the existence of solution of the nonlinear second-order difference problem with Neumann boundary conditions. Assuming the existence of a pair of ordered lower and upper solutions y and p, we obtain optimal existence results for the case y < p and even for y 2 p. To this end,
A procedure for determining the ground state eigenvalue and eigenfunction of the Sturm-Liouville equation with periodic boundary conditions has been developed. This procedure is based on Picard's method, which, through the use of Chebyshev polynomials, provides for an efficient computational scheme.