The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter
نویسندگان
چکیده
This paper is devoted to investigating the uniform convergence conditions of Fourier series expansions continuous functions in terms eigenfunctions a Sturm-Liouville problem with eigenparameter one boundary on closed interval. Such problems are quite common mathematical physics problems.
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Uniqueness of and numerical techniques for the inverse Sturm-Liouville problem with eigenparameter dependent boundary conditions will be discussed. We will use a Gel’fand-Levitan technique to show that the potential q in u00 þ qu 1⁄4 u, 0 < x < 1 uð0Þ 1⁄4 0, ða þ bÞuð1Þ 1⁄4 ðc þ d Þu0ð1Þ can be uniquely determined using spectral data. In the presence of finite spectral data, q can be reconstruc...
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ژورنال
عنوان ژورنال: Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics
سال: 2021
ISSN: ['1303-5991']
DOI: https://doi.org/10.31801/cfsuasmas.721513