A spectral problem for the Sturm–Liouville equation on the edges of an equilateral regular star-tree with the Dirichlet boundary conditions at the pendant vertices and Kirchhoff and continuity conditions at the interior vertices is considered. The potential in the Sturm–Liouville equation is a real–valued square summable function, symmetrically distributed with respect to the middle point of any edge. If {λ_j}is a sequence of real numbers, necessary and sufficient conditions for {λ_j}to be the spectrum of the problem under consideration are established. Copyright © 2013 John Wiley & Sons, Ltd.

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Volume37, Issue15

October 2014

Pages 2211-2217

Inverse Sturm–Liouville spectral problem on symmetric star-tree

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Inverse Sturm–Liouville spectral problem on symmetric star-tree

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