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- W1576933171 abstract "Sturm-Liouville problem with generalized derivative of self-similar Cantor type function as a weight is considered. Under Neumann and mixed boundary conditions the oscillating properties of the eigenfunctions are studied. The spectral asymptotics are made more precise then in previous papers. Namely, it is shown that for known asymptotics $N(lambda)=lambda^Dcdot [s(lnlambda)+o(1)]$ the function $s$ is a product of decreasing exponent and nondecreasing purely singular function (and hence it is not constant)." @default.
- W1576933171 created "2016-06-24" @default.
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- W1576933171 date "2011-02-21" @default.
- W1576933171 modified "2023-09-27" @default.
- W1576933171 title "On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight" @default.
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- W1576933171 doi "https://doi.org/10.48550/arxiv.1102.4199" @default.
- W1576933171 hasPublicationYear "2011" @default.
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