Nested Bounds for Solutions of Differential Equations.
SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)
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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.
- Theoretical Mathematics
- Operations Research