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半线性中立型发展方程mild解的存在性 被引量：1

Existence of mild solutions to semilinear neutral evolution equations
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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. 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.
作者 宋超 朱涛
机构地区 南京工程学院基础部
出处 《浙江大学学报（理学版）》 CAS CSCD 北大核心 2010年第1期1-4,共4页 Journal of Zhejiang University（Science Edition）
基金 南京工程学院科研基金项目(KXJ08091)
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 nonlocal semilinear neutral evolution equation fixed point theorem mild solution completely continuous operator
分类号 O175 [理学—基础数学]
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参考文献10

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浙江大学学报（理学版）
2010年 第1期

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