| Banach空间中非线性Volterra型积分方程整体解的存在性定理 |
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| 引用本文： | 张晓燕. Banach空间中非线性Volterra型积分方程整体解的存在性定理[J]. 山东大学学报(理学版), 2010, 45(8): 57-61 |
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| 作者姓名： | 张晓燕 |
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| 作者单位： | 山东大学数学学院, 山东 济南 250100 |
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| 摘 要： | 利用凸幂凝聚算子的不动点定理和函数e-λt (其中λ>0是常数)的特殊性质, 在更广泛的条件下,研究了Banach空间中一类非线性Volterra型积分方程整体解的存在性。本文主要结果改进和推广了已有相关结果。
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| 关 键 词： | Banach空间 整体解 非紧性测度 非线性Volterra型积分方程, |
| 收稿时间： | 2009-08-09 |
Existence theorems of global solutions for nonlinear integral equations of Volterra type in Banach spaces |
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| ZHANG Xiao-yan. Existence theorems of global solutions for nonlinear integral equations of Volterra type in Banach spaces[J]. Journal of Shandong University, 2010, 45(8): 57-61 |
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| Authors: | ZHANG Xiao-yan |
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| Affiliation: | School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | By using the fixed point theorem of convex-power condensing operator and the special quality of function e-λt( where λ＞0 is a constant), the existence of global solutions for a class of nonlinear integral equations of Volterra type in Banach spaces is investigated under more extensive conditions. The results improve and generalize some recent corresponding results. |
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| Keywords: | Banach space global solution measure of noncompactness nonlinear integral equation of Volterra type |
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