Accession Number : AD0826495

Title :   ON A MODIFICATION OF THE CLASSICAL ISOPERIMETRIC PROBLEM,

Corporate Author : RICE UNIV HOUSTON TX AERO-ASTRONAUTICS GROUP

Personal Author(s) : Miele, Angelo

Report Date : 1968

Pagination or Media Count : 22

Abstract : 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)

Descriptors :   (*CALCULUS OF VARIATIONS, PROBLEM SOLVING), INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, TRANSCENDENTAL FUNCTIONS, INEQUALITIES, OPTIMIZATION.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE