| 变分迭代法求解消失时滞微分方程的收敛性 |
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| 引用本文： | 王林君.变分迭代法求解消失时滞微分方程的收敛性[J].吉林大学学报(理学版),2012,50(4):705-708. |
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| 作者姓名： | 王林君 |
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| 作者单位： | 江苏大学 理学院, 江苏 镇江 212013 |
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| 基金项目： | 江苏省高校自然科学基金，江苏大学高级专业人才科研启动基金 |
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| 摘 要： | 应用变分迭代法求解一类消失时滞微分方程. 通过选取适当的Lagrange乘子, 得到了求解这类方程的迭代格式, 并证明了该格式的收敛性. 数值实验验证了理论结果的正确性.
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| 关 键 词： | ,变分迭代法,时滞微分方程,收敛性,Runge-Kutte法, |
Convergence of Variational Iteration Method for Solving Functional Differential Equations with Vanishing Delays |
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| WANG Lin-jun.Convergence of Variational Iteration Method for Solving Functional Differential Equations with Vanishing Delays[J].Journal of Jilin University: Sci Ed,2012,50(4):705-708. |
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| Authors: | WANG Lin-jun |
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| Institution: | Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China |
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| Abstract: | The variational iteration method was applied to solving functional differential equations with vanishing delays.After determining an appropriate Lagrange multiplier,the approximate solutions can be readily obtained.Sufficient conditions are given to guarantee the convergence of the method.Furthermore,the numerical experiment was also carried out to illustrate the main result. |
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| Keywords: | variational iteration method functional differential equations convergence Runge-Kutte method |
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