| Banach空间中Hammerstein型积分微分方程初值问题的一种拟上下解法 |
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| 引用本文： | 李相锋.Banach空间中Hammerstein型积分微分方程初值问题的一种拟上下解法[J].陇东学院学报(社会科学版),2008(2). |
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| 作者姓名： | 李相锋 |
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| 作者单位： | 陇东学院数学系 甘肃庆阳745000 |
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| 摘 要： | 通过建立一个新的比较原理,利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性,并给出了近似解的迭代序列和误差估计式.
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| 关 键 词： | 积分微分方程 初值问题 混合单调迭代法 L-拟上下解法 |
The Method of L-quasi-upper-lower Solution to Cauchy Problems of Hammerstein Style Integrodifferential Equations in Abstract Space |
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| Li Xiang-Feng.The Method of L-quasi-upper-lower Solution to Cauchy Problems of Hammerstein Style Integrodifferential Equations in Abstract Space[J].Journal of Longdong University(Social Science Edition),2008(2). |
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| Authors: | Li Xiang-Feng |
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| Abstract: | By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problems of first order nonlinear integrodifferential equations in Banach spaces are obtained.Furthermore,the iterative sequence and error estimate of approximation solutions are given. |
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| Keywords: | Integrodifferential equation Cauchy problem Mixed monotone iterative technique L-quasi-upper and lower solution |
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