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离散差分系统的多个正解(英文)
引用本文:刘晓兰,朱江.离散差分系统的多个正解(英文)[J].徐州师范大学学报(自然科学版),2010,28(1):33-35.
作者姓名:刘晓兰  朱江
作者单位:1. 宿迁学院,教师教育系,江苏,宿迁,223800
2. 徐州师范大学,数学科学学院,江苏,徐州,221116
基金项目:supported by the Natural Science Foundation of the Education Department of Jiangsu Province(05KJD110225); theFoundation of“Qing Lan Gong Cheng”Plan and the Foundation of Suqian College(2008ky07)
摘    要:利用不同于参考文献的方法,利用范数形式的锥拉压不动点定理,讨论了一类差分方程多个解的存在性,给出了至少有两个正解存在的条件.

关 键 词:离散系统  不动点  正解

Multiple positive solutions of a discrete difference system
LIU Xiaolan,ZHU Jiang.Multiple positive solutions of a discrete difference system[J].Journal of Xuzhou Normal University(Natural Science Edition),2010,28(1):33-35.
Authors:LIU Xiaolan  ZHU Jiang
Institution:LIU Xiaolan1,ZHU Jiang2(1.Department of Education,Suqian College,Suqian 223800,Jiangsu,China,2.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China)
Abstract:This paper is concerned with the following system: Δ2 u1(r)+f1(r,u1(r),u2(r))=0,r∈0,T],△2u2(r)+f2(r,u1(r),u2(r))=0,r∈0,T],u1(0)=u1(T+2)=0,u2(0)=u2(T+2)=0.By using the fixed point theorem of norm form about cone tension and compression,sufficient conditions are obtained for the existence of at least two positive solutions to the above system.
Keywords:discrete system  fixed point  positive solution
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