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On calculation of eigenvalues of Sturm-Liouville problem with indefinite weight having self-similar primitive

Functional Analysis 2007-05-23 v1 Spectral Theory

Abstract

A method of calculation of eigenvalues of the problem yλρy=0-y''-\lambda\rho y=0, y(0)=y(1)=0y(0)=y(1)=0, where ρ\rho is a distribution having self-similar primitive PL2[0,1]P\in L_2[0,1], is described.

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Cite

@article{arxiv.math/0610646,
  title  = {On calculation of eigenvalues of Sturm-Liouville problem with indefinite weight having self-similar primitive},
  author = {A. A. Vladimirov},
  journal= {arXiv preprint arXiv:math/0610646},
  year   = {2007}
}

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5 pages