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Inverse Problem of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments

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Modeling, Simulation and Optimization of Complex Processes - HPSC 2012

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Abstract

The paper is devoted to the solvability conditions for the inverse problem of the calculus of variations for second order differential equations with deviating arguments.Also we are interested in explicit formulae 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.

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Authors and Affiliations

  1. Voronezh State University, Universitetskaya pl., 1, 394006, Voronezh, Russia

    Galina Kurina

  2. Voronezh Institute of Law and Economics, Leninskii pr., 119-A, 394042, Voronezh, Russia

    Galina Kurina

Authors
  1. Galina Kurina
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Correspondence to Galina Kurina .

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Editors and Affiliations

  1. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Hans Georg Bock

  2. Vietnam Academy of Science and Technology(VAST), Hanoi, Vietnam

    Xuan Phu Hoang

  3. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Rolf Rannacher

  4. Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Heidelberg, Germany

    Johannes P. Schlöder

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Kurina, G. (2014). Inverse Problem of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments. In: Bock, H., Hoang, X., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes - HPSC 2012. Springer, Cham. https://doi.org/10.1007/978-3-319-09063-4_9

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