In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fra...In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results.展开更多
基金jointly supported by Natural Science Foundation of Hunan Provincial under Grant 11JJ3005Science and Technology Planning Project of Hunan Province Science and Technology Department under Grant 2012FJ4300the Natural Scientific Research Fund of Hunan Provincial Education Department under Grant 11C1186
文摘In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results.