| Banach空间中一类非线性Volterra型积分方程整体解的存在性 |
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| 引用本文： | 袁邢华,蒋巧云.Banach空间中一类非线性Volterra型积分方程整体解的存在性[J].应用泛函分析学报,2010,12(1):60-64. |
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| 作者姓名： | 袁邢华 蒋巧云 |
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| 作者单位： | 南通大学理,学院,南通,226007 |
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| 摘 要： | 利用一个新的不动点定理在较弱的条件下考虑Banach空间中一类非线性Voherra型积分方程整体解的存在性．由于非线性项中含有非线性积分算子，相对于线性积分算子，文章所得结论推广并丰富了已有文献的一些结果．
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| 关 键 词： | Volterra型积分方程 非紧性测度 凸幂凝聚算子 整体解 |
Existence of Nontrivial Global Solution for a Class of Nonlinear Volterra Integral Equations in Banach Space |
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| YUAN Xinghua,JIANG Qiaoyun.Existence of Nontrivial Global Solution for a Class of Nonlinear Volterra Integral Equations in Banach Space[J].Acta Analysis Functionalis Applicata,2010,12(1):60-64. |
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| Authors: | YUAN Xinghua JIANG Qiaoyun |
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| Institution: | (College of Science, Nantong University, Nantong 226007, China) |
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| Abstract: | We get a global existence result for a class of nonlinear integral equations by applying a new fixed point thereom in weaker condition.Because there is a nonlinear integral operator in nonlinear term,compared with linear integral operator,some results in knowed papers are expanded and enriched. |
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| Keywords: | Volterra integral equation noncompoctness measure convex-power condensing operator global solution |
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