Banach空间非线性二阶边值问题单调迭代求解

Solving Process of Monotonic Iteration for Nonlinear Second Order Boundary Value Problems in Banach Space

在一般的Banach空间中,仅使用一个上解或下解,利用算子谱理论和非紧性测度条件获得了二阶2点边值问题解的存在性结果.

In ordinary Banach space,with only an lower solution or an upper solution,the existence results of solutions for second order boundary value problem are abtained by employing spectral analysis and non- compact measures.