Publication:
Battle-Outcome Prediction for an Extended System of Lanchester-Type Differential Equations

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Authors
Taylor, James G.
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1984
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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.
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Article
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Operations Research
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This research was partially supported by the Office of Naval Research as part of the Foundation Research Program at the Naval Postgraduate School.
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Journal of Mathematical Analysis and Applications, Vol. 102, pp. 371-379, 1984
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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