Global Inverse and Implicit Function Theorems via Ordinary Differential Equations,

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0720894

Entities

People

  • John M. Fitts

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Cooperation
  • Differential Equations
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.