Abstract
In this paper,by using the discrete Arzelá-Ascoli Lemma and the fixed-point theorem in cones,we discuss the existence of positive solutions of the following second order discrete Sturm-Liouville boundary value problem on infinite intervals{-△2u(x-1)=f(x,u(x),△u(x-1)),x ∈ N,u(0)-a△u(0)=B,△u(∞)=C,where △u(x)=u(x+1)-u(x)is the forward difference operator,N={1,2,...,∞},f:(N)×(R)+×(R)+→(R)+is continuous,a＞0,B and C are nonnegative constants,(R)+=[0,+∞),△u(∞)=limx→∞ △u(x).
基金项目
National Natural Science Foundation of China(12361040)
Department of Education University Innovation Fund of Gansu Province(2021A-006)
NETL
NSTL
万方数据