p-Laplacian算子多点边值问题正解的存在性  

Positive Solutions to a Mutli-point Boundary Value Problem with p-Laplacian

作　　者：李志艳[1] 严树林[2] 

机构地区：[1]河海大学常州校区数理教学部,江苏常州213022 [2]常州工程职业技术学院基础部,江苏常州213164

出　　处：《河海大学常州分校学报》2007年第2期21-24,共4页Journal of Hohai University Changzhou

摘　　要：研究一类具有p-Laplacian算子的常微分方程多点边值问题.首先通过对方程两边积分得到等价积分方程,然后利用锥上的不动点指标定理证明积分方程存在正解,最终得到p-Laplacian算子多点边值问题存在一个正解和多个正解的结论.A class of mutli- point boundary value problem with p-Laplacian operator is studied. By integrating on both sides of the equation, its equivalent integral equation is obtained. Using the fixed point theorem on cone, it is shown that the integral equation has positive solutions. The existence of one or more positive solutions of mutli-point boundary value problem with p-Laplacian is proved.

关 键 词：边值问题 P-LAPLACIAN算子 正解 锥上不动点指标定理 

分 类 号：O175.8[理学—数学]