Abstract：In this paper, we study positive solutions for a class of second order problems under Stieltjes integral boundary conditions with derivative. Due to the derivative in the boundary conditions, the procedure of discussing is different from one in previous literature, and Green's function corresponding to the problem is given. The fixed point index theory is applied to prove the existence of positive solutions when the nonlinear term f(x,y,z) has superlinear or sublinear growth on x and y. The validity of the theoretical results is illustrated by two concrete examples, in which the boundary conditions include the forms of integral and multi-point types.
计倩, 张国伟. 含导函数Stieltjes积分边界条件下二阶问题的正解[J]. 应用泛函分析学报, 2020, 22(4): 193-206.
JI Qian, ZHANG Guowei. Positive Solutions for Second Order Problems under Stieltjes Integral Boundary Conditions with Derivative. J Appl Funct Anal, 2020, 22(4): 193-206.
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2020, Vol. 22 
