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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 62–68
DOI: https://doi.org/10.4213/mzm1248 (Mi mzm1248) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Transformation of equations with retarded argument to equations with the best argument

E. B. Kuznetsov

Moscow Aviation Institute
Full-text PDF (165 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm1248
Abstract: The problem of choosing the best argument in the Cauchy problem for a system of ordinary differential equations with retarded argument is studied from the viewpoint of the method of continuation of the solution with respect to a parameter. It is proved that the arc length counted along the integral curve of the problem is the best argument for the system of continuation equations to be well-posed in the best possible way. A transformation of the Cauchy problem to the best argument is obtained.
Received: 12.02.1996
Revised: 06.06.1997
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 55–60
DOI: https://doi.org/10.1007/BF02316143
Bibliographic databases:
UDC: 517.91+519.622
Language: Russian
Citation: E. B. Kuznetsov, “Transformation of equations with retarded argument to equations with the best argument”, Mat. Zametki, 63:1 (1998), 62–68; Math. Notes, 63:1 (1998), 55–60
Citation in format AMSBIB
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\paper Transformation of equations with retarded argument to equations with the best argument
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\pages 62--68
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\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 1
\pages 55--60
\crossref{https://doi.org/10.1007/BF02316143}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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