| 半线性中立型发展方程mild解的存在性 |
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| 引用本文： | 宋超,朱涛.半线性中立型发展方程mild解的存在性[J].浙江大学学报(理学版),2010,37(1):1-4. |
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| 作者姓名： | 宋超 朱涛 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,211167 |
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| 基金项目： | 南京工程学院科研基金 |
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| 摘 要： | 研究了Banach空间中的非局部半线性中立型发展方程,利用半群理论、分数幂算子、不动点定理,得到了mild解的存在性.
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| 关 键 词： | 非局部半线性中立型发展方程 不动点定理 mild解 全连续算子 |
Existence of mild solutions to semilinear neutral evolution equations |
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| SONG Chao,ZHU Tao.Existence of mild solutions to semilinear neutral evolution equations[J].Journal of Zhejiang University(Sciences Edition),2010,37(1):1-4. |
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| Authors: | SONG Chao ZHU Tao |
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| Institution: | (Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China) |
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| Abstract: | The existence of mild solutions to nonlocal semilinear neutral evolution equations in Banach spaces is studied. By using the semigroup theory, fractional power of operators and fixed point theorems, the existence of mild solutions is obtained. |
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| Keywords: | nonlocal semilinear neutral evolution equation fixed point theorem mild solution completely continuous operator |
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