一类分数阶q-导数方程非平凡解的存在性

Existence of Nontrivial Solutions for a Class of Fractional q-derivative Equations

利用锥不动点理论结合格林函数的单调非负性,讨论了一类分数阶-导数方程非平凡解的存在性,并且给出非平凡解范数的存在范围。

In this paper,we use the cone fixed point theory and the monotonic,nonnegative property of Green’s function to discuss the existence of nontrivial solutions of a class of fractional-derivative equations,and give the existence range of nontrivial solution norms.