三阶非线性非自治中立型时滞差分方程正解存在性定理  

Existence Theorem of Positive Solution for a Class of Third Order Nonlinear Nonautonomous Neutral Delay Difference Equations

作　　者：韩振来[1] 孙书荣[2] 滕厚山[2] 

机构地区：[1]海军航空工程学院应用数学研究所,山东烟台264001 [2]济南大学理学院,山东济南250022

出　　处：《数学的实践与认识》2006年第8期304-308,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10071043);山东省教育厅科技计划项目(03P51)(J04A60)

摘　　要：研究了一类三阶非线性变系数非自治中立型变时滞差分方程正解的存在性,给出了该类方程存在最终正解的几个充分条件,推广了已有文献的某些结果.In this paper, the existence of positive solution for a class of third order nonlinear nonautonomous neutral delay difference equations with variable coefficient is studied. Some sufficient conditions for the existence of eventually positive solution of the equations are obtained. We extend some known results in the paper.

关 键 词：非线性 中立型差分方程 最终正解 非自治 

分 类 号：O175.7[理学—数学]