| 一类具积分边界条件的泛函微分方程的上下解方法 |
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| 引用本文： | 陈国平,申建华.一类具积分边界条件的泛函微分方程的上下解方法[J].湖南师范大学自然科学学报,2007,30(2):22-25. |
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| 作者姓名： | 陈国平 申建华 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,中国,长沙,410081 |
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| 基金项目： | 国家自然科学基金资助项目(10571050)，湖南省教育厅重点项目(02A023) |
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| 摘 要： | 利用反序上下解结合单调迭代技巧讨论了一类带积分边界条件的一阶泛函微分方程解的存在性问题,在合适的条件下,得到了一个新的存在性定理,推广了已有的相应结果.
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| 关 键 词： | 上下解 最大最小解 泛函微分方程 积分边界条件 |
| 文章编号： | 1000-2537（2007）02-0022-04 |
| 修稿时间： | 2007-01-25 |
Upper and Lower Solutions for First-order Functional Differential Equations with Integral Boundary Conditions |
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| CHEN Guo-ping,SHEN Jian-hua.Upper and Lower Solutions for First-order Functional Differential Equations with Integral Boundary Conditions[J].Journal of Natural Science of Hunan Normal University,2007,30(2):22-25. |
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| Authors: | CHEN Guo-ping SHEN Jian-hua |
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| Institution: | College of Mathematics and Computers Science, Hunan Normal University, Changsha 410081, China |
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| Abstract: | The method of upper and lower solutions with reversed ordering combined with monotone iterative technique is empolyed to study the existence of solutions of a class of first-order functional differential equations with integral boundary conditions.Under suitable conditions,a new existence theorem is obtained,which generalized the known results.An example also is given to illustrate the theorem obtained. |
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| Keywords: | upper and lower solution maximal and minimal solution functional differential equation integral boundary condition |
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