一类四阶两点边值问题解的存在唯一性

The Existence of Unique Solution for a Class of Fourth-order Two-point Boundary Value Problems

运用锥的性质和u0-凹算子的不动点理论讨论一类四阶两点边值问题,得到了此类问题解的存在唯一性,给出了该类问题正解存在唯一性的充分条件,改进了文献中的相关结论,同时还给出了一个例子作为应用.

A class of fourth-order two-point boundary value problems is discussed and the existence of a u- nique solution for this kind of equations is obtained by using the property of cone and a fixed point theorem of uo- concave operator. The conclusion in related literature is also improved, and an example is given to demonstrate the result as well.