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Problems of Optimization—A General View

  • Lamberto Cesari
Part of the Applications of Mathematics book series (SMAP, volume 17)

Abstract

Here we are concerned with minima and maxima of functionals of the form
$$ I\left[ x \right] = \int_{{{{t}_{1}}}}^{{{{t}_{2}}}} {{{f}_{0}}(t,x(t),x'(t))dt,(')} = d/dt, $$
(1.1.1)
where we think of I[x] as dependent on an n-vector continuous function x(t) = (x1, ... ,xn), t1tt2, or continuous curve of the form C:x = x(t), t1tt2, in Rn+1 ,in a suitable class. Actually the subject of our inquiry will go much farther than the mere analysis of minima and maxima of functionals.

Keywords

Differential System Absolutely Continuous Admissible Pair Isoperimetric Problem Bibliographical Note 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1983

Authors and Affiliations

  • Lamberto Cesari
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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