| 半序Banach空间中半线性发展方程正mild解的存在性 |
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| 引用本文： | 李彦. 半序Banach空间中半线性发展方程正mild解的存在性[J]. 淮阴师范学院学报(自然科学版), 2008, 7(3) |
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| 作者姓名： | 李彦 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300 |
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| 摘 要： | 利用凝聚映像的Sadovskii不动点定理,讨论了半序Banach空间中一类半线性混合型发展方程初值问题,获得了其正mild解的存在性.
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| 关 键 词： | 半序Banach空间 半线性发展方程 非紧性测度 不动点定理 C0-半群 |
Existence of Positive Mild Solution of Semilinear Evolution Equation in Ordered Banach Spaces |
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| LI Yan. Existence of Positive Mild Solution of Semilinear Evolution Equation in Ordered Banach Spaces[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2008, 7(3) |
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| Authors: | LI Yan |
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| Abstract: | In this paper,by using the Sadovskii fixed point theorem with respect to condensing operator,the initial value problem for mixed type semilinear evolution equation in ordered Banach spaces is discussed,and the existence of positive mild solution to this problem is obtained. |
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| Keywords: | ordered Banach spaces semilinear evolution equation measure of noncompactness fixed point theorem C0-semigroup |
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