| 具有滞后与超前的泛函微分方程的拟线性方法 |
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| 引用本文： | 陈改平,鲍俊艳.具有滞后与超前的泛函微分方程的拟线性方法[J].河北大学学报(自然科学版),2011,31(2):130-134. |
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| 作者姓名： | 陈改平 鲍俊艳 |
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| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 摘 要： | 利用拟线性方法研究了具有滞后与超前的一阶泛函微分方程,通过构造单调序列,证明了该单调迭代序列一致且平方收敛于方程的解.
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| 关 键 词： | 拟线性方法 单调迭代 平方收敛 |
A Quasilinearization Method for a Class of Functional Differential Systems with Retardation and Anticipation |
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| CHEN Gai-ping,BAO Jun-yan.A Quasilinearization Method for a Class of Functional Differential Systems with Retardation and Anticipation[J].Journal of Hebei University (Natural Science Edition),2011,31(2):130-134. |
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| Authors: | CHEN Gai-ping BAO Jun-yan |
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| Institution: | (College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | A class of functional differential systems relative to both retardation and anticipation is investigated.By using monotone iterative technique and constructing monotone sequences,obtain monotonically and quadratically convergence of the sequences. |
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| Keywords: | quasilinearization method monotone iterative quadratic convergence |
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