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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 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 DOI: https://doi.org/10.4213/mzm8709   Full text:
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English version: Mathematical Notes, 2011, 90:2, Bibliographic databases:   
UDC: 517.972.7+517.929 Received: 20.11.2009 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), 
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