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Existence Theorems: The Case of an Exceptional Set of No Growth

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

Abstract

Any of the growth conditions (γl), (γ2), (γ3) in (11.1.i) can be remarkably reduced. Indeed, we may assume that on the points (t, x) of a “slender” subset S of A no growth condition holds. We shall see that this will lead to a notable enlargement of the class of problems for which we can prove the existence of an optimal solution.

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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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