Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals

	Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals
Computational Methods for Differential Equations
مقاله 15، دوره 9، شماره 1، فروردین 2021، صفحه 244-257 اصل مقاله (135.46 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.32543.1509
نویسنده
Seyfollah Mosazadeh^*
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, 87317-53153, Iran.
چکیده
In this paper, we consider Sturm-Liouville problems on two symmetric disjoint intervals with two supplementary discontinuous conditions at an interior point. First, we investigate some spectral properties of boundary value problems, and obtain the asymptotic form of the eigenvalues and the eigenfunctions. Then, the eigenfunction expansion of Green’s function is presented and we prove the uniqueness theorems for the solution of the inverse problem, and reconstruct the Sturm-Liouville operator and the coefficients of boundary conditions using the Weyl m-function and spectral data. Also, numerical examples are presented.
کلیدواژه‌ها
Inverse Sturm-Liouville problems؛ discontinuous conditions؛ Green’s function؛ expansion theorem؛ Weyl m-function

آمار تعداد مشاهده مقاله: 473 تعداد دریافت فایل اصل مقاله: 347

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