范数形式锥拉、压和区域拉、压不动点定理的推广和应用

推广范数形式锥拉、压和区域拉、压不动点定理，并应用推广的锥拉压不动点定理，研究一类非线性积分方程的正解。

一类非线性算子的锥拉压不动点定理

对Ｈｉｌｂｅｒｔ空间中较广泛的映射类证明了若干新的锥拉压不动点定理．

一类无穷区间上分数阶微分方程正解的存在性

讨论一类无穷区间上分数阶微分方程的边值问题,通过构造合适的Green函数,依赖于Green函数的相关性质,利用非线性抉择原理和锥拉压不动点定理,给出了该问题正解的存在性结论.

Existence and Incomparability of Positive Solutions for Singular Boundary Value Problems of First Order Differential Equation on Unbounded Domains

By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value problem(BVP,for short) on unbounded domains.Moreover,an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.