Inequality Constraints in the Calculus of Variations.

Abstract

This article deals with necessary conditions for problems in the calculus of variations that incorporate inequality constraints of the form f(x, x') < or = 0. It is shown that by avoiding this transition and treating these problems directly, the classical multiplier rule can be obtained under significantly weaker regularity and rank hypotheses.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA031937

Entities

People

  • Frank H. Clarke

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Contracts
  • Convex Sets
  • Differential Equations
  • Equations
  • Euler Equations
  • Hypotheses
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Statistical inference.