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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1350–1355 (Mi zvmmf263)  
This article is cited in 8 scientific papers (total in 8 papers)

Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight

A. A. Vladimirov

Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (742 kB) Citations (8)
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Abstract: An efficient method is proposed for calculating the eigenvalues of the boundary value problem $-y''-\lambda\rho y=0,\quad y(0)=y(1)=0$, where $\rho\in\mathring W_2^{-1}[0,1]$ is the generalized derivative of a self-similar function $P\in L_2[0,1]$.
Key words: Sturm–Liouville problem, method for calculating the eigenvalues, fractal indefinite weight function.
Received: 17.11.2006
Revised: 26.02.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1295–1300
DOI: https://doi.org/10.1134/S0965542507080076
Bibliographic databases:
Document Type: Article
UDC: 519.624.1
Language: Russian
Citation: A. A. Vladimirov, “Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1350–1355; Comput. Math. Math. Phys., 47:8 (2007), 1295–1300
Citation in format AMSBIB
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\jour Comput. Math. Math. Phys.
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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