| 几个不动点定理及其在Volterra型积分方程中的应用 |
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| 引用本文： | 杨晨,翟成波. 几个不动点定理及其在Volterra型积分方程中的应用[J]. 信阳师范学院学报(自然科学版), 2004, 17(2): 152-153,158 |
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| 作者姓名： | 杨晨 翟成波 |
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| 作者单位： | 山西大学,数学系,山西,太原,030006 |
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| 摘 要： | 在一般序Banach空间中讨论了一般算予不动点的存在惟一性定理，得到了若干不具有连续性争紧性条件的算子新的不动点定理，并把所得结果应用于Banach空间中的不连续非线性Vo1terra型积分方程。得到其解的存在惟一性．
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| 关 键 词： | 正规锥 不动点 Volterra型积分方程 |
| 文章编号： | 1003-0972(2004)02-0152-02 |
Several fixed point theorems and applications for Volterra type integral equations |
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| YANG Chen,ZHAI Cheng-bo. Several fixed point theorems and applications for Volterra type integral equations[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2004, 17(2): 152-153,158 |
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| Authors: | YANG Chen ZHAI Cheng-bo |
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| Abstract: | The existence,uniqueness of fixed point for general operators in Banachs are studied,and some new fixed point theorems of concerned operators,which have no continuous and compact conditions,are obtained.Applying the results to discontinuous nonlinear Volterra type integral equations in Banach spaces,the existence and uniqueness of the solution are obtained. |
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| Keywords: | normal cone fixed point Volterra type integral equations |
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