| 分段连续型延迟Logistic方程数值解的稳定性 |
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| 引用本文： | 胡琳,甘四清,李文皓.分段连续型延迟Logistic方程数值解的稳定性[J].黑龙江大学自然科学学报,2010,27(1). |
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| 作者姓名： | 胡琳 甘四清 李文皓 |
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| 作者单位： | 1. 中南大学数学科学与计算技术学院,长沙,410075;东北林业大学理学院,哈尔滨,150041
2. 中南大学数学科学与计算技术学院,长沙,410075 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究对分段连续型延迟Logistic方程直接运用Runge-Kutta方法会产生伪解,从而建立了不产生伪解的Runge-Kutta方法,讨论了该方法的收敛阶,证明了该方法在一定条件下是局部和全局渐近稳定的。
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| 关 键 词： | 分段连续 延迟Logistic方程 Runge-Kutta方法 伪解 稳定 |
Stability of numerical solutions to the delay logistic equations with piecewise continuous arguments |
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| HU Lin,GAN Si-qing,LI Wen-hao.Stability of numerical solutions to the delay logistic equations with piecewise continuous arguments[J].Journal of Natural Science of Heilongjiang University,2010,27(1). |
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| Authors: | HU Lin GAN Si-qing LI Wen-hao |
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| Abstract: | It is shown that spurious solutions are obtained when Runge-Kutta method is directly applied to the delay logistic equations with piecewiso continuous arguments. Runge-Kutta method which does not admit spurious solutions is constructed. The convergent order of this method is investigated. It is shown that this method is locally asymptotically stable and globally asymptotically stable under certain conditions. |
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| Keywords: | piecewise continuous delay logistic equations Runge-Kutta methods spurious solutions stable |
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