兵工自动化Issue(8):1-3,3.DOI:10.7690/bgzdh.2013.08.001
一类时滞兰彻斯特方程的奇异摄动方法
Singular Perturbation Method for One-Class of Time Delay Lanchester Equation
摘要
Abstract
Considering the important role of Lanchester equation of reaction time factor in combat elements, time delay Lanchester combat model is established under the condition of informationization. Each approximate solution of Lanchester equation using singular perturbation theory was constructed by constructing boundary layer function method, then comparing the accuracies for the solutions verifies the asymptotic expansion possesses a better accuracy and this kind of approximate solution is analyzing, thus further qualitative and quantitative research on the Lanchester equation can be done on this basic research.关键词
时滞/兰彻斯特方程/奇异摄动Key words
time delay/Lanchester equation/singular perturbation分类
军事科技引用本文复制引用
周津,程燕,谢英超..一类时滞兰彻斯特方程的奇异摄动方法[J].兵工自动化,2013,(8):1-3,3.基金项目
国家自然科学基金资助项目(41175058) (41175058)