| 非局部条件下半线性微分方程的适度解 |
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| 引用本文： | 嵇绍春,李刚.非局部条件下半线性微分方程的适度解[J].数学的实践与认识,2009,39(22). |
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| 作者姓名： | 嵇绍春 李刚 |
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| 作者单位： | 1. 淮阴工学院,数理学院,江苏,淮安,223003
2. 扬州大学数学科学学院,江苏,扬州,225002 |
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| 基金项目： | 国家自然科学基金，淮阴工学院青年教师基金 |
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| 摘 要： | 讨论了Banach空间中非局部条件下半线性微分方程的适度解的存在性,利用不动点和非紧测度的方法,给出了在不需要半群紧性条件下方程适度解的存在性,并且对f是连续紧算子和f是Lipschitz连续的情形做了统一处理,从而得到了更为广泛和一般性的结果.
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| 关 键 词： | 非局部条件 适度解 不动点 非紧测度 |
Mild Solutions for Semilinear Differential Equations with Nonlocal Conditions |
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| JI Shao-chun,LI Gang.Mild Solutions for Semilinear Differential Equations with Nonlocal Conditions[J].Mathematics in Practice and Theory,2009,39(22). |
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| Authors: | JI Shao-chun LI Gang |
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| Abstract: | We discuss the existence of mild solutions for semilinear differential equations with nonlocal conditions in Banach spaces. By using the method of the fixed point and the measure of noncompactness, the existence of mild solutions without the compactness of semigroup can be got and special cases as f is completely continuous and Lipschitz continuous can also be tackled, which are more extensive and general results. |
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| Keywords: | nonlocal conditions mild solution fixed point measure of noncompactness |
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