One-Sided Continuous Dependence of Maximal Solutions.

Abstract

Existence of a maximal solution is proved for a differential equation satisfying a one-sided variant of Caratheodory's condition. The maximal solution is shown to dominate all solutions of a very general differential inequality. Also a best-possible condition is proved for the dependence of the maximal solution on the initial data and on the right-hand side of the equation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA079722

Entities

People

  • Eric Schechter

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Computational Science
  • Contracts
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Hypotheses
  • Inequalities
  • Materials
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Sequences
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis