时标上三阶带脉冲的P-Laplacian动力方程边值问题
Three Order Impulsive Boundary Value Problem with P-Laplacian on Time Scales

作者: 齐淑珍 :燕山大学理学院,秦皇岛; 杨军 :燕山大学理学院,秦皇岛;河北省数学研究中心,石家庄; 齐黎阳 :沙河市高村学区辛寨小学,沙河; 程猛 :燕山大学电气工程学院,秦皇岛;

关键词: 边值问题脉冲不动点定理时标Boundary Value Problem Impulsive Fixed Point Theorem Time Scale

摘要: 本文利用Avery-peterson不动点定理得到了时标上一类带脉冲的P-Laplacian多点边值问题的正解存在性,并且建立了至少存在三个正解的充分条件,为现有的相关结果作了进一步推广,同时为含有带脉冲的P-Laplacian多点边值问题的研究奠定了理论基础,最后给出数字例子对主要结果进行了证明。

Abstract: This paper uses Avery-Peterson fixed point theorem on cone to study existence of positive solutions for a class of mixed impulsive boundary value problem with P-Laplacian. Some new results for the existence of at least three positive solutions of the boundary value problem are obtained, thus our results make a theoretical foundation for the further study of the impulsive boundary value problem with P-Laplacian. Finally, an example is worked out to demonstrate our results.

文章引用: 齐淑珍 , 杨军 , 齐黎阳 , 程猛 (2012) 时标上三阶带脉冲的P-Laplacian动力方程边值问题。 应用数学进展, 1, 28-33. doi: 10.12677/AAM.2012.11004

参考文献

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