Uniform convergence of the spectral expansions in terms of root functions for a spectral problem
| dc.contributor.author | Kerimov, Nazim | |
| dc.contributor.author | Goktas, Sertac | |
| dc.contributor.author | Maris, Emir A. | |
| dc.date.accessioned | 2023-06-20T16:51:26Z | |
| dc.date.available | 2023-06-20T16:51:26Z | |
| dc.date.issued | 2016-03-18 | |
| dc.description.abstract | In this article, we consider the spectral problem -y″ + q(x)y = λy, 0 < x < 1, y′(0) sin β = y(0) cos β, 0 ≤ β < π; y′(1) = (αλ + b)y(1) where λ is a spectral parameter, α and b are real constants and α < 0, q(X) is a real-valued continuous function on the interval [0, 1]. The root function system of this problem can also consist of associated functions. We investigate the uniform convergence of the spectral expansions in terms of root functions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kerimov, N. B., Göktaş, S., & Maris, E. A. (2016). Uniform convergence of the spectral expansions in terms of root functions for a spectral problem. <i>Electronic Journal of Differential Equations, 2016</i>(80), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16952 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Differential operator | |
| dc.subject | Eigenvalues | |
| dc.subject | Root functions | |
| dc.subject | Uniform convergence of spectral expansion | |
| dc.title | Uniform convergence of the spectral expansions in terms of root functions for a spectral problem | |
| dc.type | Article |