| 含偏差变元 Volterra 型积分方程解的存在性与渐近性 |
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| 引用本文： | 罗志敏. 含偏差变元 Volterra 型积分方程解的存在性与渐近性[J]. 广州大学学报(综合版), 2014, 0(2): 15-18 |
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| 作者姓名： | 罗志敏 |
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| 作者单位： | 罗定职业技术学院教育系,广东罗定527200 |
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| 摘 要： | 讨论一类含偏差变元Voherra型积分方程解的存在与渐近问题，利用Banach空间中的非紧性测度和不动点定理，建立了方程有形如z（t）=o（exp（ML（t）））解的充分条件，并给出一个例子说明结论的应用．
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| 关 键 词： | 积分方程 Banach空间 非紧性测度 渐近性 |
The existence and asymptotic behaviour for solutions of Volterra integral equation with deviating arguments |
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| Affiliation: | L UO Zhi-min (Education Department, guoding Polytechnic, Luoding 527200, China) |
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| Abstract: | The paper is concerned with the existence and asymptotic behaviour of solutions of a class of Voherra integral equation. We obtain the sufficient conditions under which solutions of the equation behave like x （t） = o（exp（ML（t） ））. The main tool used in investigations is the technique associated with the measures of noncompactness and a fixed point theorem in Banach space. In particular, an example is given to show the applica- tion of the result. |
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| Keywords: | integral equation Banach space measure of noneompactness asymptotic behaviour |
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