Abstract
We consider a family of boundary-value problems in which the role of a parameter is played by a potential. We investigate the smooth structure and homotopic properties of the manifolds of eigenfunctions and degenerate potentials corresponding to double eigenvalues.
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Dymarskii, Y.M. Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems. Ukrainian Mathematical Journal 54, 1251–1263 (2002). https://doi.org/10.1023/A:1023475305819
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DOI: https://doi.org/10.1023/A:1023475305819