一类代数系统的多重正解的存在性与特征区间  

Existence of multiple positive solutions and characteristic interval for a class of algebraic systems

作　　者：赵进 丁伯伦 李文娟 ZHAO Jin;DING Bolun;LI Wenjuan(Department of Basic Science,Yangzhou Polytechnic Institute,Yangzhou Jiangsu 225100;Department of Mathematics,Shanghai Normal University,Shanghai 200234)

机构地区：[1]扬州工业职业技术学院基础科学部,江苏扬州225100 [2]上海师范大学数理学院,上海200234

出　　处：《宁夏师范学院学报》2022年第1期5-9,共5页Journal of Ningxia Normal University

基　　金：国家自然科学基金(11671118).

摘　　要：运用Leggett-Williams不动点定理研究了一类非线性代数系统多重正解的存在性,并且刻画了它的特征区间.In this paper,we study the existence of multiple positive solutions for a class of nonlinear algebraic systems by using Leggett-Williams fixed point theorem,and characterize its characteristic interval.

关 键 词：代数系统 正解 特征区间 LEGGETT-WILLIAMS不动点定理 

分 类 号：O241.7[理学—计算数学]