Uniform convergence of the spectral expansions in terms of root functions for a spectral problem
Date
2016-03-18
Authors
Kerimov, Nazim
Goktas, Sertac
Maris, Emir A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Differential operator, Eigenvalues, Root functions, Uniform convergence of spectral expansion
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.
Rights
Attribution 4.0 International