文章基本信息

标题：Multiple Positive Symmetric Solutions to <svg style="vertical-align:-3.294pt;width:11.0875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.0875 14.1125" width="11.0875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1125)"> <g transform="translate(72,-60.71)"> <text transform="matrix(1,0,0,-1,-71.95,64.04)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑝</tspan> </text> </g> </g> </svg>-Laplacian Dynamic Equations on Time Scales
本地全文：下载
作者：You-Hui Su ; Can-Yun Huang
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2009
卷号：2009
DOI：10.1155/2009/141929
出版社：Hindawi Publishing Corporation
摘要：This paper makes a study on the existence of positive solution to 𝑝-Laplacian dynamic equations on time scales 𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem. As applications, two examples are given to illustrate the main results and their differences. These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.