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Matematicheskie Zametki, 2004, Volume 75, Issue 2, Pages 287–301
DOI: https://doi.org/10.4213/mzm34 (Mi mzm34) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory

I. G. Tsar'kov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (257 kB) Citations (18)
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DOI: https://doi.org/10.4213/mzm34
Abstract: In this paper, we study the structural and approximative properties of sets admitting an upper semicontinuous acyclic selection from an almost-best approximation operator. We study the questions of nonunique solvability of a nonlinear inhomogeneous Dirichlet problem on the basis of these properties.
Received: 22.04.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 2, Pages 259–271
DOI: https://doi.org/10.1023/B:MATN.0000015042.89501.ed
Bibliographic databases:
UDC: 513.88, 517.9
Language: Russian
Citation: I. G. Tsar'kov, “Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory”, Mat. Zametki, 75:2 (2004), 287–301; Math. Notes, 75:2 (2004), 259–271
Citation in format AMSBIB
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\paper Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory
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\pages 259--271
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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