| Banach空间中混合型非线性积分──微分方程的最大解和最小解 |
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| 引用本文： | 刘立山. Banach空间中混合型非线性积分──微分方程的最大解和最小解[J]. 曲阜师范大学学报, 1994, 0(Z1) |
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| 作者姓名： | 刘立山 |
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| 作者单位： | 曲阜师范大学数学系 |
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| 摘 要： | 在弱序列完备的Ｂａｎａｃｈ空间中，利用推理论和单调迭代方法，研究了混合型非线性积分－微分方程初值问题最大解和最小解的存在性。其结果改进和推广了许多已知的结果。
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| 关 键 词： | 弱序列完备Banach空间，单调迭代方法，最大解和最小解 |
MINIMAL AND MAXIMAL SOLUTIONS OF N0NLINEAR INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES |
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| Liu Lishan. MINIMAL AND MAXIMAL SOLUTIONS OF N0NLINEAR INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES[J]. Journal of Qufu Normal University(Natural Science), 1994, 0(Z1) |
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| Authors: | Liu Lishan |
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| Abstract: | y using the cone theory and the monotone iterative technique,the existenceof minimal and maximai bwolutions of the initial value problem for nonlinear integrodifferentialequations of mixed type in weakly sequence complete Banach space is investigated.These re-sults improve and generalize many well-known results. |
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| Keywords: | eakly sequences complete Banach space monotone iterative method maximal and minimal solutions |
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