Mathematical analysis of nonlinear Helmbold-type equations of warfare

DOI10.1016/0016-0032(81)90003-XzbMath0456.90045OpenAlexW1967378842MaRDI QIDQ1150525

James G. Taylor

Publication date: 1981

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(81)90003-x

zbMATH Keywords

warfaremilitary analysiscombatlinear combat modelnonlinear Helmbold-type equationsrepresentation of force-level trajectoriessimple-approximate battle-outcome-predictiontwo homogeneous military forcesvariable-coefficient nonlinear differential-equation model

Mathematics Subject Classification ID

Operations research and management science (90B99)

Cites Work

• Battle-outcome-prediction conditions for variable-coefficient Lanchester- type equations for area fire
• Approximate solution (with error bounds) to a nonlinear, nonautonomous second-order differential equation
• Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Warfare
• Using Simulation to Develop and Validate Analytic Models: Some Case Studies
• Error Bounds for the Liouville-Green Approximation to Initial-Value Problems
• Some simple victory-prediction conditions for lanchester-type combat between two homogeneous forces with supporting fires
• Prediction of Zero Points of Solutions to Lanchester-Type Differential Combat Equations for Modern Warfare
• Some Differential Games of Tactical Interest and the Value of a Supporting Weapon System
• Fundamental Inequalities for Discrete and Discontinuous Functional Equations
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