带参数与p-Laplae算子的二阶脉冲微分方程的多点边值问题
首发时间:2019-10-08
摘要:本文研究了一类带参数的p-Laplace算子脉冲多点边值问题,利用全连续算子的不动点定理以及Banach空间的锥理论得到了正解对参数的依赖性并得到了存在两个正解的充分条件。
关键词: p-Laplace算子 不动点定理 两个正解 参数 脉冲微分方程
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Multiple positive solutions of impulsive differential equations involving the one-dimensional p-Laplacian with parameter
Abstract:In this paper, we study a class of multi-point boundary value problems with p-Laplace operator with parameters. Using the fixed point theorem of fully continuous operators and the cone theory of Banach space, we obtain the existence of positive solutions and show the dependence of parameters. Finally,we get a sufficient condition for two positive solutions.
Keywords: p-Laplacian fixed point theorem double positive solutions parameter impulsive differential equations
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带参数与p-Laplae算子的二阶脉冲微分方程的多点边值问题
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