Research Catalog

On a modification of the classical isoperimetric problem.

Title
  1. On a modification of the classical isoperimetric problem.
Published by
  1. [Houston] Rice University, 1968.
Author
  1. Miele, Angelo.

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Details

Description
  1. 17 pages illustrations; 28 cm
Summary
  1. The isoperimetric problem of the ancient Greeks consists of finding the curve of maximum area for a given perimeter or, equivalently, the curve of minimum perimeter for a given area. Its well known solution is a circle covering the angular interval delta theta = 2 pi. If the area under consideration is constrained to lie in the angular interval delta theta < 2 pi and if the perimeter includes the segments lying on the border of the above angular interval, a modification of the classical isoperimetric problem arises. Its solution is found with the methods of the calculus of variations and differs considerably from the constant radius solution of the classical isoperimetric problem. (Author).
Series statement
  1. Aero-astronautics report, no. 37
Uniform title
  1. Aero-astronautics report ; no. 37.
Subject
  1. Calculus of variations
  2. Problem solving
  3. Integral equations
  4. Differential equations, Partial
  5. Boundary value problems
  6. Transcendental functions
Owning institution
  1. Princeton University Library
Note
  1. Cover title.