NON-PARABOLIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS IN TWO INDEPENDENT VARIABLES

Abstract

Aspects of general elliptic systems of linear equations are discussed, and a beginning is also attempted of the development of a general theory of systems of mixed type. The attack stems from a well-known theorem about matrices by use of which any system of first order, linear, partial differential equations in two variables can be decomposed, after linear transformations of the dependent variables and linear recombinations of the equations, into subsystems of a small number of sharply distinguished canonical types.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1950
Accession Number
AD0493013

Entities

People

  • Avron Douglis

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Counter WMD
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Coefficients
  • Construction
  • Continuity
  • Convergence
  • Differential Equations
  • Equations
  • Hypotheses
  • Integral Equations
  • Integrals
  • Linear Differential Equations
  • Numbers
  • Partial Differential Equations
  • Power Series
  • Real Numbers
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.