摘要
利用Sadovskii不动点定理,讨论了Banach空间中的二阶常微分方程的一类n点边值问题,得到了至少一个解的存在性件。作为应用,给出了一个无限维空间中的例子。
The boundary value problems(BVPs)have become a focus.But in Banach spaces,as far as the-point BVPS are concerned,there are few results.By using the Sadovskii fixed point theorem,the second-order n-point BVP in a Banach space is studied,the existence of at least one solution is obtained.As an application,an example in an infinite dimensional space is also given to demonstrate the results.
出处
《河南科技大学学报(自然科学版)》
CAS
北大核心
2009年第4期90-92,100,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(10871206)