一类具p-Laplacian算子三阶m点边值问题的三个正解
일류구p-Laplacian산자삼계m점변치문제적삼개정해
Three Positive Solutions for a Class of Third-orderm-point Boundary Value Problems with p - Laplacian Operator
  • 万方数据
    数学的实践与认识 수학적실천여인식
    MATHEMATICS IN PRACTICE AND THEORY
    2011年 5期 204-209 ,共6页

    桂旺生%周宗福

    계왕생%주종복

    p-Laplacian算子%锥%Avery-Peteron不动点定理%正解 p-Laplacian算子%錐%Avery-Peteron不動點定理%正解
    p-Laplacian산자%추%Avery-Peteron불동점정리%정해
    考察了一类具p-Laplacian算子三阶m点边值问题的三个正解.首先利用二阶m点边值问题的Green函数把该类问题转化为一个等价的积分方程,在适当的锥上应用Avery-Peteron不动点定理讨论该类积分方程的正解存在性,从而得到了正解存在的充分条件.
    고찰료일류구p-Laplacian산자삼계m점변치문제적삼개정해.수선이용이계m점변치문제적Green함수파해류문제전화위일개등개적적분방정,재괄당적추상응용Avery-Peteron불동점정리토론해류적분방정적정해존재성,종이득도료정해존재적충분조건.
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