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

被引：0
作者：
You-yuan Yang
Qi-ru Wang
机构：
[1] Guangdong University of Finance,School of Financial Mathematics and Statistics
[2] Sun Yat-Sen University,School of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2022年 / 38卷
关键词：
one dimensional third order ; -Laplacian equations; integral boundary conditions; positive solutions; the Avery-Peterson xed point theorem; kernel functions; 34B10; 34B18;
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学科分类号：
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) = ∝01g1(s)u(s)ds, u(1)+βu′(1) = ∝01g2(s)u(s)ds, u′(0) = 0. By using kernel functions and the Avery-Peterson xed point theorem, we establish the existence of at least three positive solutions.
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页码：116 / 127
页数：11
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