| 共振条件下二阶微分方程R—S积分边值问题解的存在性 |
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| 引用本文： | 赵月,赵志良,张祖峰.共振条件下二阶微分方程R—S积分边值问题解的存在性[J].新乡学院学报(自然科学版),2009,26(5):6-8. |
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| 作者姓名： | 赵月 赵志良 张祖峰 |
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| 作者单位： | 赵月,赵志良,ZHAO Yue,ZHAO Zhi-liang(周口师范学院,数学系,河南,周口,466001);张祖峰,ZHANG Zu-feng(宿州学院,应用数学系,安徽,宿州,234000) |
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| 基金项目： | 宿州学院硕士科研启动基金，周口师范学院青年基金重点项目 |
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| 摘 要： | 考虑了1类R-S积分型边值问题，利用Mawhin的重合度理论，获得了当dim Ker L-2时解的存在性定理，结论推广了相关已有结果。
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| 关 键 词： | R—S积分型边值问题 共振 重合度理论 存在性定理 |
Existence of Solutions for R-S Integral Boundary Value Problem of Second order Differential Equations at Resonance |
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| Authors: | ZHAO Yue ZHAO Zhi-liang ZHANG Zu-feng |
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| Institution: | ZHAO Yue , ZHAO Zhi-liang , ZHANG Zu-feng (1. Department of Mathematics, Zhoukou Normal University, Zhoukou 466001, China; 2. Department of Applied Mathematics, Suzhou University, Suzhou 234000, China) |
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| Abstract: | A kind of R-S integral boundary value problem is studied. Based on Mawhin＇s coincidence degree theory, existence theorem is obtained under the ease dim Ker L= 2. The results in this paper improved some relative known results. |
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| Keywords: | R-S integral boundary value problems resonance coincidence degree theory existence theorem |
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