Nested Bounds for Solutions of Differential Equations.

Abstract

For a particular class of ordinary differential equations, an iterative procedure is described that gives a sequence of nested pairs of lower and upper bounds for the solution. Simple conditions are found under which the bounds converge to the solution. The method is used to study equations of Lanchester's type, which have applications to the deterministic description of situations in naval warfare.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0874709

Entities

People

  • Christian Fabry

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Digital Computers
  • Equations
  • Exponential Functions
  • Governments
  • Iterations
  • Lanchester Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Models
  • Naval Warfare
  • Notation
  • Sequences
  • Warfare

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.
  • Military History / Militaries and War Studies