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This article is cited in 6 scientific papers (total in 6 papers)
Half-linear Sturm–Liouville problem with weights: Asymptotic behavior of eigenfunctions
Pavel Drábeka, Alois Kufnerb, Komil Kulievc a Department of Mathematics, University of West Bohemia,
Plzeň, Czech Republic
b Institute of Mathematics, Academy of Sciences of the Czech Republic, Praha 1, Czech Republic
c School of Mathematics, Cardiff University, Cardiff, Wales, UK
Abstract:
We consider a nonlinear Sturm–Liouville problem with weights. Under suitable assumptions on weights we prove an asymptotic estimate for the decay of the eigenfunctions. An application to the radial problem on the entire $\mathbb R^N$ is given.
Received in July 2013
Citation:
Pavel Drábek, Alois Kufner, Komil Kuliev, “Half-linear Sturm–Liouville problem with weights: Asymptotic behavior of eigenfunctions”, Function spaces and related problems of analysis, Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 284, MAIK Nauka/Interperiodica, Moscow, 2014, 157–162; Proc. Steklov Inst. Math., 284 (2014), 148–154
Linking options:
https://www.mathnet.ru/eng/tm3524https://doi.org/10.1134/S0371968514010099 https://www.mathnet.ru/eng/tm/v284/p157
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