| 抽象空间中Hammerstein型积分-微分方程Cauchy问题的L-拟上下解法 |
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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惟一性,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 for Cauchy Problem of Hammerstein Style Integro-differential Equation in Abstract Space |
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| Authors: | LI Xiang-feng |
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| Abstract: | By establishing a new comparison principle,using the method of L-quasi-upper-lower solution and the mixed monotone iterative technique,the existence and uniqueness of solutions for Cauchy problems of first order nonlinear integro-differential equations in Banach spaces are obtained.Furthermore,the iterative sequence and error estimate of approximation solutions are given. |
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| Keywords: | integro-differential equation Cauchy problem mixed monotone iterative technique L-quasi-upper-lower solution |
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