中立型时滞逻辑斯谛方程无界正解的振动性  

Oscillation of Unbounded Positive Solutions of Neutral Delay Logistic Equations

作　　者：张复兴[1] 刘开宇[2] 

机构地区：[1]邵阳学院数学系,邵阳422000 [2]湖南大学数学与计量经济学院,长沙410082

出　　处：《数学理论与应用》2008年第1期36-39,共4页Mathematical Theory and Applications

基　　金：国家自然科学基金项目资助(10571032)

摘　　要：关于中立型逻辑斯谛方程有界正解的研究已有了长足的发展,而无界正解的研究在已有文献中却非常少见。本文利用振动性原理,结合分析方法得到其无界正解的渐近行为,由此建立中立型时滞逻辑斯谛方程无界正解振动的充分与必要条件,所获结果推广了相关文献的结论。There is further develoment in study of bounded positive solution of neutral logistic equation,but the research of unbounded positive solution is fewer. This paper obtain asymptotic behavior of unbounded positive solution by using theory of oscillation and method of analysis. In end, we establish necessary and sufficient condition of unbounded positive solution of neutral logistic equation. These results extend previous ones.

关 键 词：中立型 时滞 振动性 

分 类 号：O175[理学—数学]