带积分边界条件的二阶非线性边值问题的正解
Positive Solutions for Second-Order Nonlinear Boundary Value Problems with Integral Boundary Conditions
作者: 刘 健 , 封汉颍 ：石家庄机械工程学院基础部，石家庄;
关键词: 正解； 积分边界条件； 不动点定理； Positive Solution； Integral Boundary Condition； Fixed Point Theory
摘要:Abstract: In this article, a second-order nonlinear boundary value problem with integral boundary conditions is investigated. By calculating, the Green’s function for boundary value problem subject to homogeneous boundary conditions and its properties are given. By using the fixed point theory in cones, the existence results for at least one positive solution for the problem are established when f is superlinear or sublinear.
文章引用: 刘 健 , 封汉颍 (2014) 带积分边界条件的二阶非线性边值问题的正解。 理论数学， 4， 57-63. doi: 10.12677/PM.2014.41009
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