具变号非线性项p-Laplace算子分数阶微分方程的正解  

Positive Solutions for Fractional Differential Equation with p-Laplacian Operator and Sign-changing Nonlinearity

作　　者：宋利梅[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《数学的实践与认识》2015年第19期254-258,共5页Mathematics in Practice and Theory

基　　金：广东省教育厅资助项目(GDJG20142449)

摘　　要：研究了具变号非线性项p-Laplace算子分数阶微分方程正解的存在性.利用双锥上的不动点定理,得到了问题两个正解的存在性的充分条件.推广和改进了现有文献的结论.还举例说明了所得结果的可应用性.The existence of positive solutions for fractional differential equations involving the p-Laplacian operator with sign changing nonlinearities was investigated.By using the fixed point theorem in double cones,sufficient condition for the existence of two positive solutions to the problem are obtained.The known result is generalized and improved.The applicability of the obtained results is finally proved by examples.

关 键 词：分数阶微分方程 P-LAPLACE算子 边值问题 双锥上的不动点定理 正解 

分 类 号：O175[理学—数学]