Accession Number : AD0656306

Title :   A LOWER BOUND FOR THE DELTA-NIELSEN NUMBER,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Brooks,Robin B. S. ; Brown,Robert F.

Report Date : JUL 1967

Pagination or Media Count : 20

Abstract : This paper is concerned with the number of solutions of three kinds of equations. Let f,g : X approaches Y and h : X approaches X be maps, and let y sub 0 be a member of Y. The equations we will study are (1) f(x) = g(x), (2) f(x) = y sub 0, and (3) h(x) = x. In a previous paper, the first author defined a lower bound N for the number of solutions of these equations which remains such a lower bound when f,g, and h are moved through homotopies. The number N is called the Delta-Nielsen number of the equation.

Descriptors :   (*MAPPING(TRANSFORMATIONS), *EQUATIONS), THEOREMS, MATHEMATICS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE