二阶q-差分方程Sturm-Liouville边值问题正解的存在性

The Existence of Positive Solution to the Boundary Value Problems of Q-Difference Equation Sturm-Liouville

运用线性问题的特征值理论以及分歧技巧,考虑二阶q-差分方程边值问题{-1/qD_(q-1)D_(q)u(t)=a(t)f(u(t)),t∈[0,1],αu(0)-βD_(q)u(0)=0,γu(1)+δD_(q)u(1)={0正解的存在性.这里α,β,γ,δ0,ρ:=γβ+αγ+αδ>0.