| 离散差分系统的多个正解(英文) |
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| 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. |
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| 作者姓名： | 刘晓兰 朱江 |
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| 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 |
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| 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) |
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| 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．
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| 关 键 词： | 离散系统 不动点 正解 |
Multiple positive solutions of a discrete difference system |
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| 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. |
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| Authors: | LIU Xiaolan ZHU Jiang |
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| 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) |
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| 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. |
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| Keywords: | discrete system fixed point positive solution |
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