Large Scale Dynamical and Control System.

Abstract

This paper studies the existence results for systems of first order partial differential equations. If the coefficients of the gradient terms are different, proving existence results for the system by the method of characteristics seems to be difficult. However, if we employ monotone iterative technique, this difficulty can be eliminated, since in this case, we can reduce the study of the given system to the study of linear uncoupled systems. For this purpose, we first investigate comparison results and then develop monotone technique in the context of quasi solutions and mixed monotone operators. One of comparison results proved provides bounds for solutions in terms of solutions of ordinary differential equations, which in turn contains as a very special case, the well known Haar's lemma.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA175684

Entities

People

  • A. S. Vatsala
  • G. S. Ladde

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Classification
  • Coefficients
  • Control Systems
  • Differential Equations
  • Equations
  • Linear Systems
  • Method Of Characteristics
  • Military Research
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Security

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design