一类具正负系数中立型方程的正解  

On the Positive Solutions of a Kind of Neutral Equations with Positive and Negative Coefficients

作　　者：唐先华[1] 庾建设[2] 

机构地区：[1]中南工业大学应用数学与应用软件系,长沙410083 [2]湖南大学应用数学系,长沙410082

出　　处：《应用数学》1999年第2期97-102,共6页Mathematica Applicata

基　　金：高校博士点基金

摘　　要：研究一类具有正负系数的中立型微分方程，得到了这类方程存在正解的充分条件和存在有界正解的充要条件，并据此给出了其存在无界正解的充分条件．In this paper we consider the neutral differential equations with positive and negative co-efficients. Sufficient conditions for the existence of positive solutions and a sufficient and nec-essary condition for the existence of bounded positive solutions are obtained. A sufficient con-dition for the existence of unbounded positive solutions also has been established.

关 键 词：正解 振动性 中立型方程 正系数 负系数 

分 类 号：O175.1[理学—数学]