SOME INEQUALITY CONSTRAINT PROBLEMS IN THE CALCULUS OF VARIATIONS,

Abstract

Four related memoranda dealing with inequality constraints in the calculus of variations are collected in this report. The first is a detailed derivation of the solution to a problem appearing in (AIAA Journal I: 2544 - 2550, 1963). The second is the solution to the simplest possible problem including both a control variable and a state variable inequality constraint. The third adds a slight complexity to the second leading to transcendental equations in the solution. The fourth is a description of a straightforward method of calculating neighboring extremal paths when an interval of the nominal extremal is on a control variable or a first-order state variable inequality constraint boundary. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 16, 1964
Accession Number
AD0601842

Entities

People

  • Walter F. Denham

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Calculus
  • Calculus Of Variations
  • Equations
  • Inequalities

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Technical Research and Report Writing.