The inverse generalized Regge problem (Q2774146)

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scientific article; zbMATH DE number 1713405
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The inverse generalized Regge problem
scientific article; zbMATH DE number 1713405

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    The inverse generalized Regge problem (English)
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    2001
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    inverse spectral problem
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    Sturm-Liouville equation
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    The inverse spectral problem is solved for the boundary value problem NEWLINE\[NEWLINE y''+\lambda^2 y-q(x)y=0,\quad 0<x<a, \qquad y(0)=0,\quad y'(a)+(i\alpha\lambda+\beta)y(a)=0, NEWLINE\]NEWLINE where \(\lambda\) is the spectral parameter, \(\alpha >0\), \(\beta\) is a real number, and \(q(x)\in L_2(0,a)\) is a real-valued function.
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