摘要
引进了一个新的泛函,它包含了已有的很多类型的泛函.关于此泛函建立了一个泛函形式的锥拉伸与锥压缩不动点定理,并应用此定理研究了一类二阶两点边值问题,得到了该问题至少一个正解的存在性.
In this paper,a new kind of functionals which includes many kinds of functionals is introduced.And a new cone expansion and compression fixed point theorem of functional type about this functional is established.Then the new theorem is applied to prove the existence of positive solution of a second order two point boundary value problem.
出处
《纯粹数学与应用数学》
CSCD
2010年第4期546-553,共8页
Pure and Applied Mathematics
关键词
泛函形式
锥拉伸与锥压缩
不动点定理
正解
functional type
cone expansion and compression
fixed point theorem
positive solution
