一阶非线性具偏差变元的微分不等式解的性质  

Properties of Solutions to the Nonlinear Differential Inequalities of First Order with Deviating Arguments

作　　者：秦国红[1] 张弘强[1] 石海平[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《长沙理工大学学报（自然科学版）》2005年第1期79-85,共7页Journal of Changsha University of Science and Technology:Natural Science

摘　　要：研究了一类一阶非线性时滞微分不等式及方程解的性质.通过引进一个新的变换,获得了其解的有关振动性质的一些新的结果.所用的方法也适用于时超微分不等式及方程.所得结果推广了已有文献的相应结论.The properties of solutions to a class of first order nonlinear differential inequalities and differential equations with deviating arguments are studied and introducing new transformation,improved oscilatory results of the differential inequalities and differential equations are obtained.This method could also be applied in super-differential inequalities and equations.The corresponding results in this paper have extended the conclusion of relevant references.

关 键 词：非线性 偏差变元 一阶 时滞微分不等式 振动性质 方程解 

分 类 号：O175.1[理学—数学] TP13[理学—基础数学]