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Discrete Arzelà-Ascoli Theorem on the Half Line and Its Application

Discrete Arzelà-Ascoli Theorem on the Half Line and Its Application
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摘要 The compactness criterion in l◇={x(·)∈l^∞(0,∞))|lim t→∞ x(t)=x(∞)} is given and as an application,we study the existence of positive solutions of second order boundary value problems of difference equation on the half line by the fixedpoint theorem in cones. The compactness criterion in l◇={x(·)∈l^∞(0,∞))|lim t→∞ x(t)=x(∞)} is given and as an application,we study the existence of positive solutions of second order boundary value problems of difference equation on the half line by the fixedpoint theorem in cones.
出处 《Communications in Mathematical Research》 CSCD 2018年第3期221-229,共9页 数学研究通讯(英文版)
基金 The NSF(11626188,11671322)of China Gansu Provincial NSF(1606RJYA232)of China and NWNU-LKQN-15-16
关键词 discrete Arzela-Ascoli theorem half line positive solution difference equation fixed point discrete Arzela-Ascoli theorem half line positive solution difference equation fixed point
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