Accession Number : AD0720894

Title :   Global Inverse and Implicit Function Theorems via Ordinary Differential Equations,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF SYSTEM SCIENCES

Personal Author(s) : Fitts,John M.

Report Date : MAR 1971

Pagination or Media Count : 34

Abstract : A lemma on the existence and uniqueness of certain ordinary differential equations is shown to be equivalent to a class of global Inverse and Implicit Function Theorems. A theorem is also developed on the existence and uniqueness of solutions to a set of nonlinear equations. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), MATRICES(MATHEMATICS), NONLINEAR SYSTEMS, MAPPING(TRANSFORMATIONS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE