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On parameter dependence of the solution to an extremal problem

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Abstract

Conditions are given under which the solution to the simplest problem of the calculus of variations is continuously dependent and differentiable with respect to a free parameter appearing in the integral functional of the problem.

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References

  1. Natanson, I.,Theory of Functions of a Real Variable, Vol. 1, Frederick Ungar, New York, New York, 1955.

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Authors and Affiliations

  1. Department of Mathematics, University of the Negev, Beer Sheva, Israel

    A. D. Solomon (Associate Professor)

Authors
  1. A. D. Solomon
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Communicated by G. Leitmann

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Solomon, A.D. On parameter dependence of the solution to an extremal problem. J Optim Theory Appl 17, 163–168 (1975). https://doi.org/10.1007/BF00933921

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  • DOI: https://doi.org/10.1007/BF00933921

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