标题:
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, 杨军, 齐黎阳, 程猛
关键字:
边值问题, 脉冲, 不动点定理, 时标Boundary Value Problem; Impulsive; Fixed Point Theorem; Time Scale
期刊名称:
《Advances in Applied Mathematics》, Vol.1 No.1, 2012-08-23
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。
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.