Accession Number:

AD0874709

Title:

Nested Bounds for Solutions of Differential Equations.

Descriptive Note:

Technical memo.

Corporate Author:

SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)

Personal Author(s):

Report Date:

1970-09-01

Pagination or Media Count:

34.0

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 Lanchesters type, which have applications to the deterministic description of situations in naval warfare.

Subject Categories:

  • Theoretical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE