Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method,

Abstract

Conditions are formulated which guarantee the existence of positive solutions for simultaneous systems on an open domain with each constant is a positive measure. The main tools used are probabilistic potential theory, Markov processes, and an iterative scheme which is not a generalization of the one used for quasi-monotone systems. Quasi-monotonicity is not assumed and new results are obtained.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA171939

Entities

People

  • Joseph Glover

Organizations

  • University of Florida

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Convergence
  • Differential Equations
  • Equations
  • Guarantees
  • Integrals
  • Linear Systems
  • Markov Processes
  • Mathematics
  • Notation
  • Partial Differential Equations
  • Pendulums
  • Potential Theory
  • Probability
  • Sequences
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis