Abstract：Nowadays， differential equations with p-Laplacian operator has been adapted to numerous fields， such as physics， computer science and picture processing. On the basis of Riemann-Liouville derivatives， in this paper， a class of infinite-point boundary value problem with p-Laplacian operator is studied. Green's functions of integral equation and properties are obtained by solving the integral equation which is equivalent to differential equation. Finally，the existence and uniqueness of positive solutions to boundary value problems is proved by the spectral radius and iterative technique to the linear operators， and examine the efficiency for the results via examples.
王 和 香. 含p-Laplacian无穷点边值问题正解的存在性[J]. 华中师范大学学报(自然科学版), 2021, 55(4): 512-516.
WANG Hexiang. Positive solutions for an infinite-point boundary value problem with p-Laplacian operators. journal1, 2021, 55(4): 512-516.
2021, Vol. 55 
