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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 231–241
DOI: https://doi.org/10.4213/mzm8709 (Mi mzm8709) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Inverse Problem of the Variational Calculus for Differential Equations of Second Order with Deviating Argument

V. G. Zadorozhniya, G. A. Kurinab

a Voronezh State University
b Voronezh State Academy of Forestry Engineering
Full-text PDF (464 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8709
Abstract: We obtain conditions for the solvability of the inverse problem of the variational calculus for differential equations of second order with deviating argument of special form as well as the formula for the functional of the inverse problem defined by the integral that differs from the standard one by that the required function has a retarded argument.
Keywords: differential equation of second order with deviating argument, inverse problem of the variational calculus, function with retarded argument, Euler's equation, Pontryagin's maximum principle, the spaces $W^1_2$.
Received: 20.11.2009
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 218–226
DOI: https://doi.org/10.1134/S0001434611070212
Bibliographic databases:
Document Type: Article
UDC: 517.972.7+517.929
Language: Russian
Citation: V. G. Zadorozhniy, G. A. Kurina, “Inverse Problem of the Variational Calculus for Differential Equations of Second Order with Deviating Argument”, Mat. Zametki, 90:2 (2011), 231–241; Math. Notes, 90:2 (2011), 218–226
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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