| 具p-Laplacian算子与积分边界条件的脉冲微分方程的正解 |
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| 引用本文： | 李培峦,袁合才.具p-Laplacian算子与积分边界条件的脉冲微分方程的正解[J].河南科技大学学报(自然科学版),2011,32(3):85-88,113. |
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| 作者姓名： | 李培峦 袁合才 |
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| 作者单位： | 1. 河南科技大学,数学与统计学院,河南洛阳471003
2. 华北水利水电学院数信学院,河南郑州,450045 |
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| 基金项目： | 国家自然科学基金项目(10871206,11001274); 河南省基础前沿研究项目(082300410230) |
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| 摘 要： | 讨论了一类具p-Laplacian算子与积分边界条件的的脉冲微分方程边值问题.利用Leray-Schuder不动点定理,得到了边值问题至少一个正解的存在性.
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| 关 键 词： | 边值问题 p-Laplacian算子 积分边界条件 脉冲微分方程 正解 存在性 |
Positive Solution of Impulsive Differential Equation with p-Laplacian Operator and Integral Boundary Condition |
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| LI Pei-Luan,YUAN He-Cai.Positive Solution of Impulsive Differential Equation with p-Laplacian Operator and Integral Boundary Condition[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(3):85-88,113. |
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| Authors: | LI Pei-Luan YUAN He-Cai |
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| Institution: | LI Pei-Luan1,YUAN He-Cai2 (1.Mathematics & Statistics School,Henan University of Science & Technology,Luoyang 471003,China,2.Department of Mathematics,North China Institute of Water Conservancy & Hydroelectric Power,Zhengzhou 450045,China) |
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| Abstract: | This paper researched a class of second-order impulsive differential equation boundary value problem with p-Laplacian and integral boundary condition.By using Leray-Schauder fixed-point theorem,the existence of at least one positive solution for the boundary value problem is obtained. |
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| Keywords: | Boundary value problem p-Laplacian operator Integral boundary conditions Impulsive differential equations Existence of positive solution |
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