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
DOI: 10.12677/AAM.2012.11004, PDF, HTML, 下载: 3,878  浏览: 14,690  国家自然科学基金支持
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. 时标上三阶带脉冲的P-Laplacian动力方程边值问题[J]. 应用数学进展, 2012, 1(1): 28-33. http://dx.doi.org/10.12677/AAM.2012.11004

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