Accession Number:

AD0656306

Title:

A LOWER BOUND FOR THE DELTA-NIELSEN NUMBER,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Brooks,Robin B. S.
• Brown,Robert F.

Report Date:

1967-07-01

Pagination or Media Count:

20.0

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 fx gx, 2 fx y sub 0, and 3 hx 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