| Banach空间中Volterra型非线性积分方程的最大最小解 |
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| 引用本文： | 李夕广,范进军,田家财. Banach空间中Volterra型非线性积分方程的最大最小解[J]. 山东师范大学学报(自然科学版), 2006, 21(1): 26-28 |
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| 作者姓名： | 李夕广 范进军 田家财 |
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| 作者单位： | 山东师范大学数学科学学院,250014,济南;山东师范大学数学科学学院,250014,济南;山东师范大学数学科学学院,250014,济南 |
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| 摘 要： | 利用Schauder不动点定理，研究了Banach空间中Volterra型非线性积分方程的最大解和最小解的存在性．
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| 关 键 词： | 最大解 最小解 紧集 不动点定理 |
| 收稿时间： | 2005-03-07 |
| 修稿时间： | 2005-03-07 |
EXTREMAL SOLUTIONS FOR THE NONLINEAR INTEGRAL EQUATIONS OF VOLTERRA TYPE IN BANACH SPACES |
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| Li Xiguang,Fan Jinjun,Tian Jiacai. EXTREMAL SOLUTIONS FOR THE NONLINEAR INTEGRAL EQUATIONS OF VOLTERRA TYPE IN BANACH SPACES[J]. Journal of Shandong Normal University(Natural Science), 2006, 21(1): 26-28 |
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| Authors: | Li Xiguang Fan Jinjun Tian Jiacai |
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| Affiliation: | The Institute of Mathematics Science, Shandong Normal University,250014, Jinan, China |
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| Abstract: | Extremal solutions for the nonlinear integral equations of Volterra type in abstract spaces are important study subjects. The Schauder frxed piont therom is used to investigate the existence of the maximal and minimal solutions. By means of constructing a special compact set, we get the existence of extremal solutions in a weekly condition. |
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| Keywords: | maximal solution minimal solution compact set frxed piont theorem |
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