| The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations |
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| 作者姓名： | Bin XU Rong YUAN |
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| 作者单位： | [1]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China [2]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10371010） and RFDP |
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| 摘 要： | This paper presents the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations, by using a fixed point theorem in the mixed monotone operators （Ma, Y.： On a class of mixed monotone operators and a kind of two-point bounded value problem. Indian J. Math., 41（2）, 211-220 （1999]]. Some known results are operators.
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| 关 键 词： | 积分方程 混合单调算子 周期性 正解 存在性 |
| 收稿时间： | 2003-08-20 |
| 修稿时间： | 2003-08-202005-02-17 |
The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations |
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| Bin XU Rong YUAN.The Existence of Positive Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations[J].Acta Mathematica Sinica,2005,21(6):1351-1360. |
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| Authors: | Bin Xu Rong Yuan |
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| Institution: | (1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China;(2) Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China;(3) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | This paper presents the conditions of existence of positive almost periodic type solutions
for some nonlinear delay integral equations, by using a fixed point theorem in the mixed monotone
operators (Ma, Y.: On a class of mixed monotone operators and a kind of two–point bounded value
problem. Indian J. Math., 41(2), 211–220 (1999)). Some known results are extended.
Supported by the National Natural Science Foundation of China (10371010) and RFDP |
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| Keywords: | almost periodicity delay integral equation mixed monotone operators |
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