| 非线性项变号的脉冲微分方程正解的存在性 |
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| 引用本文： | 姚林红,赵爱民.非线性项变号的脉冲微分方程正解的存在性[J].山东大学学报(理学版),2010,45(12):83-87. |
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| 作者姓名： | 姚林红 赵爱民 |
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| 作者单位： | 1.中北大学理学院, 山西 太原 030051; 2.山西大学 数学科学学院, 山西 太原 030006 |
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| 基金项目： | 山西省自然科学基金资助项目 |
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| 摘 要： | 利用锥上的不动点指数理论得到了f变号时脉冲微分方程边值问题
-y″(t)=f(t,y(t)), t∈［0,1］＼｛t1,t2,…,tm｝,
Δy′(tk)=Jk(y(tk)), k=1,…,m,
y(0)=y(1)=0
正解的存在性,本文的结果推广并改进了相关文献的结论。
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| 关 键 词： | 边值问题 不动点指数 脉冲微分方程 |
| 收稿时间： | 2010-01-09 |
Existence of positive solutions for an impulsive differential equation with a sign changing nonlinear term |
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| YAO Lin-hong,ZHAO Ai-min.Existence of positive solutions for an impulsive differential equation with a sign changing nonlinear term[J].Journal of Shandong University,2010,45(12):83-87. |
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| Authors: | YAO Lin-hong ZHAO Ai-min |
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| Institution: | 1. School of Sciences, North University of China, Taiyuan 030051, Shanxi, China;
2. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Abstract: | The existence of positive solutions are obtained for boundary value problems of impulsive differential equation
-y″(t)=f(t,y(t)), t∈［0,1］＼｛t1,t2,…,tm｝,
Δy′(tk)=Jk(y(tk)), k=1,…,m,
y(0)=y(1)=0
where f can change the sign. The proof is based on the fixed point index theorem in cones. The results of this paper improve and generalize the known results in the literature. |
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| Keywords: | boundary value problem fixed point index impulsive differential equation |
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