2017
Том 69
№ 9

All Issues

Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems

Dymarskii Ya. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 8, pp 1251-1263.

Citation Example: Dymarskii Ya. M. Manifolds of Eigenfunctions and Potentials of a Family of Periodic Sturm–Liouville Problems // Ukr. Mat. Zh. - 2002. - 54, № 8. - pp. 1042-1052.

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