带参数时滞Laplacian型方程边值问题的正解  

Positive Solutions for the Boundary Value Problem of Laplacian-like Equation with Parameter & Delay

作　　者：严树林[1] 李志艳 YAN Shu-lin;LI Zhi-yan(Common Science and Technology Education Department,Changzhou Vocational Institute of Engineering,Changzhou 213164,China;Department of Basic Science,Hohai University Changzhou Campus,Changzhou 213022,China)

机构地区：[1]常州工程职业技术学院通识部,江苏常州213164 [2]河海大学常州校区基础学部,江苏常州213022

出　　处：《数学的实践与认识》2019年第22期248-253,共6页Mathematics in Practice and Theory

基　　金：江苏省自然科学基金(BK20170298)

摘　　要：利用锥拉伸与锥压缩不动点定理,研究了一类带参数和时滞的Laplacian型方程边值问题的正解,得到了多个正解存在的充分条件.所得结论拓展了时滞方程的研究领域,为时滞方程的研究带来了动力与活力.Due to fixed point theorem on cone,we study a class of Laplacian-like equation with a parameter and a delay,and obtain the existence of positive solutions.Our work extends the research field of the delay equations,which brings the dynamism and dynamism to the study of the delay equations.

关 键 词：Laplacian型方程 正解 不动点定理 时滞 

分 类 号：O17[理学—数学]