| Banach空间中的半线性发展方程 |
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| 引用本文： | 张莉娜,薛星美. Banach空间中的半线性发展方程[J]. 应用泛函分析学报, 2008, 10(4): 360-365 |
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| 作者姓名： | 张莉娜 薛星美 |
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| 作者单位： | 1. 安徽理工大学,数理系,安徽,淮南,232001
2. 东南大学,数学系,江苏,南京,210096 |
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| 摘 要： | 讨论了Banach空间X中带有非局部条件的半线性发展方程．在g失去紧性的条件下，利用L^p（I；X）空间中的不动点定理，对边值问题适度解的存在性做了研究，完善和推广了已有结论．最后给出一个在偏微分方程中的例子．
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| 关 键 词： | 非局部条件 紧半群 适度解 Schaefer不动点定理 |
Semilinear Evolution Equations in Banach Space |
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| ZHANG Li-na,XUE Xing-mei. Semilinear Evolution Equations in Banach Space[J]. Acta Analysis Functionalis Applicata, 2008, 10(4): 360-365 |
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| Authors: | ZHANG Li-na XUE Xing-mei |
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| Affiliation: | ZHANG Li-na~1 XUE Xing-mei~2 1.Dept of Mathematics,Anhui University of Science and Technology,Huainan 232001,China 2.Dept of Mathematics,Southeast University,Nanjing 210096,China |
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| Abstract: | We discuss semilinear evolution equations with nonlocal conditions in Banach space X. Under the condition that g lose the compactness,we get the existence results using the fixed-point theorem in L~p(I;X),which improve and generalize the known results.In addition,we construct an example in partial differential equations. |
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| Keywords: | nonlocal conditions compact semigroup mild solution Schaefer's fixed-point theorem |
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