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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
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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.
作者 严树林 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)
出处 《数学的实践与认识》 北大核心 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)
关键词 Laplacian型方程 正解 不动点定理 时滞 Laplacian-like operator positive solution fixed point theorem on cone delay
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