Abstract
This paper is devoted to investigating the uniform convergence conditions of Fourier series expansions of continuous functions in terms of eigenfunctions of a Sturm-Liouville problem with eigenparameter in one of the boundary conditions on a closed interval. Such problems are quite common in mathematical physics problems.
Highlights
In many mathematical physics problems, partial di¤erential equations are encountered
This paper is devoted to investigating the uniform convergence conditions of Fourier series expansions of continuous functions in terms of eigenfunctions of a Sturm-Liouville problem with eigenparameter in one of the boundary conditions on a closed interval
Such problems are quite common in mathematical physics problems
Summary
In many mathematical physics problems, partial di¤erential equations are encountered. This paper is devoted to investigating the uniform convergence conditions of Fourier series expansions of continuous functions in terms of eigenfunctions of a Sturm-Liouville problem with eigenparameter in one of the boundary conditions on a closed interval. Our aim is to investigate the uniform convergence conditions of spectral expansions of continuous functions in terms of eigenfunctions of the Sturm-Liouville problem: u00 + q(x)u = u; 0 < x < 1; (1)
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