Accession Number:

ADA000547

Title:

Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Robinson,Stephen M.

Report Date:

1974-08-27

Pagination or Media Count:

32.0

Abstract:

This paper develops a condition for stability of the solution set of a system of nonlinear inequalities over a closed convex set in a Banach space, when the functions defining the inequalities are subjected to small perturbations. The condition involves the linearization of the system about a point it is shown to be sufficient and, under weak additional hypotheses, also necessary for stability. Quantitative estimates for the changes in the solution set are obtained. Author

Descriptors:

• *NONLINEAR PROGRAMMING
• *INEQUALITIES
• STABILITY
• DIFFERENTIAL EQUATIONS
• CONVEX SETS
• THEOREMS
• BANACH SPACE

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE