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Cauchy and Fredholm methods for Euler equations

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Abstract

The mathematical treatment of many problems in mathematical physics requires the minimization of a quadratic functional. It is shown that the optimizing function can be viewed as the solution of the familiar Euler equation, subject to boundary conditions, or as the solution of a certain Fredholm integral equation, or as the solution of an initial-value (Cauchy) problem. Each formulation has certain analytic and computational advantages and disadvantages.

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Authors and Affiliations

  1. The RAND Corporation, Santa Monica, California

    H. Kagiwada (Associate Mathematician) & R. E. Kalaba (Mathematician)

  2. University of Southern California, Los Angeles, California

    A. Schumitzky (Assistant Professor of Mathematics)

  3. California Institute of Technology, Pasadena, California

    R. Sridhar (Associate Professor of Engineering)

Authors
  1. H. Kagiwada
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  2. R. E. Kalaba
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  3. A. Schumitzky
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  4. R. Sridhar
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Kagiwada, H., Kalaba, R.E., Schumitzky, A. et al. Cauchy and Fredholm methods for Euler equations. J Optim Theory Appl 2, 157–163 (1968). https://doi.org/10.1007/BF00926997

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  • DOI: https://doi.org/10.1007/BF00926997

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