English

Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight

Functional Analysis 2007-05-23 v3

Abstract

In the paper the Sturm-Liouville problem yρy=0-y''-\rho y=0, y(0)=y(1)=0y(0)=y(1)=0 is studied. ρ\rho is a generalized derivative of function PL2[0,1]P\in L_2[0,1]. For self-similar PP asymptotic formulas for eigenvalues are obtained.

Keywords

Cite

@article{arxiv.math/0405410,
  title  = {Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight},
  author = {I. A. Sheipak and A. A. Vladimirov},
  journal= {arXiv preprint arXiv:math/0405410},
  year   = {2007}
}

Comments

18 pages, 2 tables, 1 figure