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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 139–148 (Mi smj946)  
This article is cited in 3 scientific papers (total in 4 papers)

Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity

M. G. Lepchinski, V. N. Pavlenko

Chelyabinsk State University
Full-text PDF (211 kB) Citations (4)
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Abstract: We consider the situation in which a resonance elliptic boundary-value problem with a discontinuous nonlinearity is an idealization of a distributed system with nonlinearities continuous in the phase variable and having narrow areas in the domain of the phase variable in which the tracking of the change of nonlinear parameters is impossible. We study the question of proximity of the solution sets of the original and idealized systems.
Keywords: resonance elliptic problem, discontinuous nonlinearity, approximation, $\beta$-convergence.
Received: 20.08.2003
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 111–118
DOI: https://doi.org/10.1007/s11202-005-0012-3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. G. Lepchinski, V. N. Pavlenko, “Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity”, Sibirsk. Mat. Zh., 46:1 (2005), 139–148; Siberian Math. J., 46:1 (2005), 111–118
Citation in format AMSBIB
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\paper Approximation of the resonance boundary-value problems of elliptic type with a~discontinuous nonlinearity
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\pages 139--148
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 111--118
\crossref{https://doi.org/10.1007/s11202-005-0012-3}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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