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| 一阶积分-微分方程周期边值问题的极值解 | |
| 引用本文： | 周文学,温爱存. 一阶积分-微分方程周期边值问题的极值解[J]. 甘肃科学学报, 2003, 15(1): 1-4 |
| 作者姓名： | 周文学 温爱存 |
| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 2. 甘肃省林业职业技术学校,甘肃,天水,741020 |
| 摘 要： | 通过建立新的比较定理和利用上下解单调迭代方法，获得了最大解和最小解的存在性定理。其结果是文献[1]和文献[2]给定最近结果的必要改进和补充。 |
| 关 键 词： | 混合型积分——微分方程 周期边值问题 单调迭代方法 比较定理 极值解 Banach空间 |
| 文章编号： | 1004-0366(2003)01-0001-04 |
| 修稿时间： | 2002-03-19 |
EXTREMAL SOLUTIONS TO PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST ORDER INTEGRO-DIFFERENTAIL EQUATIONS |
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| ZHOU Wen|xue+,WEN Ai|cun+. EXTREMAL SOLUTIONS TO PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST ORDER INTEGRO-DIFFERENTAIL EQUATIONS[J]. Journal of Gansu Sciences, 2003, 15(1): 1-4 | |
| Authors: | ZHOU Wen|xue+ WEN Ai|cun+ |
| Affiliation: | ZHOU Wen|xue+1,WEN Ai|cun+2 |
| Abstract: | The periodic boundary value problems for first order integro|differential equations of mixed type in banach spaces are discussed by the monotone iterative method when some of the traditional boundary conditions are violated by establishing a new comparative result; criteria on the existence of maximal and minimal solutions are obtained Hence, the results of the paper can improve recent results given in and . |
| Keywords: | integro-diffenetial equations of mixed type periodic boundary value problems monotone iterative method theorem of comparison |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |