| 一类泛函微分方程半正问题的正周期解 |
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| 引用本文： | 莫宜春,孙晋易,王珍燕.一类泛函微分方程半正问题的正周期解[J].纯粹数学与应用数学,2012(1):137-142. |
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| 作者姓名： | 莫宜春 孙晋易 王珍燕 |
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| 作者单位： | 西北师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(10671158);甘肃省自然科学基金(3ZS051-A25-016);NWNU-KJCXGC-03-17;春辉计划(Z2004-1-62033);高等学校博士学科点专项基金(20060736001);教育部留学回国人员启动资金(2006[311]) |
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| 摘 要： | 运用Krasnosel’skii不动点理论研究了一类含参泛函微分方程半正问题正周期解的存在性．获得了当参数充分小时正周期解的存在性结果以及半正问题正周期解存在的充分条件．丰富了一阶泛函微分方程解的存在性理论．
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| 关 键 词： | 泛函微分方程 不动点定理 正周期解 存在性 |
A positive periodic solutions for semipositone problems of functional differential equations |
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| Mo Yichun,Sun Jinyi,Wang Zhenyan.A positive periodic solutions for semipositone problems of functional differential equations[J].Pure and Applied Mathematics,2012(1):137-142. |
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| Authors: | Mo Yichun Sun Jinyi Wang Zhenyan |
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| Institution: | (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | By using Krasnosel’skii fixed-point theorem in cones,this paper studies the existence of positive periodic solutions for semipositone problems of functional differential equations.We obtain the existence of positive periodic solutions when the parameter is small enough,and the suffcient conditions for existence of positive periodic solutions for semipositone problems,enriching the theory for existence of solutions of functional differential equations. |
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| Keywords: | functional differential equations fixed-point theorem positive periodic solutions existence |
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