Banach空间二阶周期边值问题的一种拟上下解方法

A Methed of Quasi-upper and Lower Solution for Second Orer Periodic Boundary value Problems in Banach Spaces

利用比较结果,通过构造L-拟上下解的单调迭代过程,在L-拟上下解反序的情形下,研究了Banach空间二阶周期边值问题解的存在性,并获得该问题解的存在性与唯一性结果.

Using the comparison principle and monotone iterative technique, the existence and uniqueness are established for second-order periodic boundary value problems in Banach spaces in the case when lower and upper solutions are opposite-ordered.