CHENG Wei, XU Jiafa. Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2017,56(4):23-27.
CHENG Wei, XU Jiafa. Positive solutions for a first-order discrete fractional boundary value problem with semipositone nonlinearity[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2017,56(4):23-27.DOI:
A first-order discrete fractional boundary value problem with semipositone nonlinearity is studied. By virtue of some inequalities associated with Green function
and using the fixed point index
the existence of positive solutions is obtained for the problem
with the nonlinearity grows both superlinearly and sublinearly. The results extend known results.
关键词
离散分数阶边值问题不动点指数正解半正非线性项
Keywords
discrete fractional boundary value problemfixed point indexpositive solutionsemipositone nonlinearity