| Banach空间中双扰动无穷时滞发展方程 |
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| 引用本文： | 董琪翔. Banach空间中双扰动无穷时滞发展方程[J]. 扬州大学学报(自然科学版), 2008, 11(4) |
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| 作者姓名： | 董琪翔 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 研究Banach空间中一类抽象的双扰动无穷时滞发展方程.利用Hausdorff非紧测度理论和Darbo不动点定理,得到在相关发展系统失去紧性等较弱的条件下发展方程适度解的存在性,推广和改进了一些已知的结果.
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| 关 键 词： | Hausdorff非紧测度 发展系统 无穷时滞发展方程 适度解 |
Doubly perturbed evolution equations with infinite dely in Banach spaces |
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| DONG Qi-xiang. Doubly perturbed evolution equations with infinite dely in Banach spaces[J]. Journal of Yangzhou University(Natural Science Edition), 2008, 11(4) |
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| Authors: | DONG Qi-xiang |
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| Affiliation: | DONG Qi-xiang(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China) |
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| Abstract: | This paper is concerned with a class of doubly perturbed evolution equations with infinite delay in Banach spaces.The existence of mild solutions to such equations is obtained by using the theory of Hausdorff measure of noncompactness and Darbo's fixed point theorem,without the compactness assumption on associated evolution system.It improves and generalizes some previous results. |
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| Keywords: | Hausdorff measure of noncompactness evolution system evolution equation with infinite delay mild solutions |
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