一类分数阶Dirichlet边值问题解的存在性

Existence of Solutions for a Class of Fractional Dirichlet Boundary Value Problems

本文研究分数阶Dirichlet边值问题,通过引入控制函数,利用临界点理论,当?F(t,x)在无穷远处不超过线性增长时,得到上述问题解的存在性,获得了一些新的存在性结果.

This article investigates the kind of fractional Dirichlet boundary value problem. By introducing control functions and using critical point theory, we obtain the new existence results of solutions for the above problem, when the nonlinearity ？F（t, x） grows less than ｜x｜ at infinity.