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

• 作者: You-yuan YANG Qi-ru WANG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 116-127
• 页数: 12页
• 语种: 英文

摘要

In this paper,we consider the one dimensional third order p-Laplacian equation(Φp(u"))'+h(t)f(t,u(t))=0 with integral boundary conditions u(0)-αu'(0)=∫10 g1(s)u(s)ds,u(1)+βu'(1)=∫10g2(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.