| Banach空间中半线性混合型发展方程的解 |
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| 引用本文： | 张晓燕.Banach空间中半线性混合型发展方程的解[J].应用泛函分析学报,2009,11(4):363-368. |
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| 作者姓名： | 张晓燕 |
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| 作者单位： | 山东大学数学学院,济南,250100 |
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| 基金项目： | 国家自然科学基金，中国博士后科学基金 |
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| 摘 要： | 在不要求C0-半群为紧半群的前提下．利用函数e^-λt（其中λ〉0是常数）和Monch不动点定理，在更广泛的条件下，得到了Banach空间中一类半线性混合型发展方程初值问题的整体mild解和正mild解，本质上改进和推广了已有相关结果．
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| 关 键 词： | 半线性混合型发展方程 C0-半群 非紧性测度 Monch不动点定理 |
Solutions of Semilinear Evolution Equations of Mixed Type in Banach Spaces |
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| ZHANG Xiao-yan.Solutions of Semilinear Evolution Equations of Mixed Type in Banach Spaces[J].Acta Analysis Functionalis Applicata,2009,11(4):363-368. |
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| Authors: | ZHANG Xiao-yan |
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| Institution: | ZHANG Xiao-yan (School of Mathematics, Shandong University, Ji＇nan 250100, China ) |
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| Abstract: | By using the function e~(-λt) (where λ > 0 is a constant) and M(o)nch fixed point theorem, the existence of global mild solutions and positive mild solutions of initial value problem for a class of semilinear evolution equation of mixed type with noncompact semigroup in Banach spaces is obtained under more extensive conditions. Our results improve and generalize many related results in essence. |
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| Keywords: | semilinear evolution equation of mixed type C_0-semigroup measure of noncompactness M(o)nch fixed point theorem |
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