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An application of the fixed point theorem to the inverse Sturm–Liouville problem
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 203-218 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider Sturm–Liouville operators $-y''+v(x)y$ on $[0,1]$ with Dirichlet boundary conditions $y(0)=y(1)=0$. For any $1\le p<\infty$, we give a short proof of the characterization theorem for the spectral data corresponding to $v\in L^p(0,1)$. Bibl. – 10 titles. 
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D. Chelkak. An application of the fixed point theorem to the inverse Sturm–Liouville problem. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 203-218. http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a11/

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