Multiple Positive Solutions for One Dimensional Third Order p-Laplacian Equations with Integral Boundary Conditions  

作　　者：You-yuan YANG Qi-ru WANG 

机构地区：[1]School of Financial Mathematics and Statistics,Guangdong University of Finance [2]School of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第1期116-127,共12页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12071491)。

摘　　要：In this paper,we consider the one dimensional third order p-Laplacian equation(Фp(u″))′+h(t)f(t,u(t))=0 with integral boundary conditions u(0)-αu′(0)=∫_(0)^(1) g1(s)u(s)ds,u(1)+βu′(1)=∫_(0)^(1)g2(s)u(s)ds,u″(0)=0.By using kernel functions and the Avery-Peterson fixed point theorem,we establish the existence of at least three positive solutions.

关 键 词：one dimensional third order p-Laplacian equations integral boundary conditions positive solutions the Avery-Peterson fixed point theorem kernel functions 

分 类 号：O175[理学—数学]