Kerimov, NazimGoktas, SertacMaris, Emir A.2023-06-202023-06-202016-03-18Kerimov, 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. 1-14.1072-6691https://hdl.handle.net/10877/16952In 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalDifferential operatorEigenvaluesRoot functionsUniform convergence of spectral expansionArticle