Existence Of Positive Solutions Of Discrete Third-order Three-point BVO With Sign-changing Green’s Function

In this paper,we consider positive solutions and multiple positive solutions for a discrete nonlinear third-order boundary value problem which has the sign-changing Green’s function.Where T>6 is an integer,[1,T-2]_z = {1,2...,T-2},a:[0,T-2]_z →[0,+∞),α ∈[0,1/(T-1)),η ∈[[(T-1)(1-α)/2),T-2]z,and f:[1,T-2]_z ×[0,∞)→[0,∞)is continuous.