| Banach空间中一类非局部混合积分微分方程 |
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| 引用本文： | 毋光先,董琪翔,李刚.Banach空间中一类非局部混合积分微分方程[J].扬州大学学报(自然科学版),2011,14(2). |
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| 作者姓名： | 毋光先 董琪翔 李刚 |
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| 作者单位： | 1. 扬州大学数学科学学院,江苏扬州225002;焦作师范高等专科学校数学系,河南焦作454001
2. 扬州大学数学科学学院,江苏扬州,225002 |
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| 基金项目： | 国家自然科学基金资助项目(10971182); 江苏省高校自然科学基金资助项目(09KJB110010) |
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| 摘 要： | 研究Banach空间中一类具非局部条件的一阶混合Volterra-Fredholm积分微分方程.利用Hausdorff非紧性测度和Darbo不动点定理,在相关函数非紧、非Lipschitz等较弱的条件下,给出此类方程整体解的存在性,改进了一些已有的结果.
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| 关 键 词： | Volterra-Fredholm积分微分方程 非局部问题 整体解 Hausdorff非紧性测度 Darbo不动点定理 |
A class of mixed integrodifferential equations with nonlocal conditions in Banach spaces |
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| WU Guang-xian,DONG Qi-xiang,LI Gang.A class of mixed integrodifferential equations with nonlocal conditions in Banach spaces[J].Journal of Yangzhou University(Natural Science Edition),2011,14(2). |
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| Authors: | WU Guang-xian DONG Qi-xiang LI Gang |
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| Institution: | WU Guang-xian1,2,DONG Qi-xiang1,LI Gang1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China,2.Dept of Math,Jiaozuo Norm Coll,Jiaozuo 454001,China) |
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| Abstract: | This paper is concerned with a class of mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions in Banach spaces.Using the theory of Hausdorff's measure of non-compactness and Darbo's fixed point theorem,the existence result of global solutions is obtained under some relatively weak conditions,which improves some previous results. |
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| Keywords: | Volterra-Fredholm integrodifferential equations nonlocal condition global solution Hausdorff's measure of noncompactness Darbo's fixed point theorem |
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