Battle-Outcome Prediction for an Extended System of Lanchester-Type Differential Equations
Abstract
Battle-outcome-prediction conditions are given for an extended system of
Lanchester-type differential equations for two different types of battle-termination
conditions: (a) fixed-force-level-breakpoint battles, and (b) tixed-force-ratio breakpoint
battles. Necessary and sufficient conditions for predicting battle
outcome are given in the former case for a fight to the finish, while sufficient
conditions are given in the latter case. The former results are equivalent to those for
the problem of classical analysis of determining (explicitly as a function of the
initial conditions) the occurrence of a zero point for the solution to this extended
system, although such results as given here have not appeared previously for
nonoscillatory (in the strict sense) solutions.
Rights
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