一类四阶两点边值问题正解的存在性

Existence of Positive Solution to Fourth-order Two-point Boundary Value Problem

应用锥上的不动点指数理论,研究了一类四阶两点边值问题正确的存在性,给出该问题至少有一个正解的充分条件,即该方程的解对参数的依赖性结果.

By using the fixed point index theory,the paper studies the existence of positive solution to the fourth-order boundary value problem and puts forward the optimal sufficient conditions for the existence of at least one positive solution to the problem mentioned above,namely,the result of the dependence of the solution to the parameter.