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Matematicheskie Zametki, 1997, Volume 62, Issue 6, Pages 836–842
DOI: https://doi.org/10.4213/mzm1673 (Mi mzm1673) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On acyclicity of the set of solutions to the Cauchy problem for differential equations

B. S. Klebanov, V. V. Filippov

M. V. Lomonosov Moscow State University
Full-text PDF (195 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm1673
Abstract: The acyclicity of sets of solutions to the Cauchy problem is considered from the viewpoint of the axiomatic theory of solutions spaces of ordinary differential equations. We prove that the class of acyclic solution spaces is closed with respect to passing to the limit space.
Received: 23.02.1996
English version:
Mathematical Notes, 1997, Volume 62, Issue 6, Pages 701–706
DOI: https://doi.org/10.1007/BF02355458
Bibliographic databases:
UDC: 517.91
Language: Russian
Citation: B. S. Klebanov, V. V. Filippov, “On acyclicity of the set of solutions to the Cauchy problem for differential equations”, Mat. Zametki, 62:6 (1997), 836–842; Math. Notes, 62:6 (1997), 701–706
Citation in format AMSBIB
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\pages 836--842
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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