变系数高阶中立型泛函微分方程的振动性与渐近性  

Oscillations and Asymptotic Property of High Order Neutrai Differential Functional Equations with Variable Coefficients

作　　者：王志斌 

机构地区：[1]榆林高专数学系,陕西719000

出　　处：《应用数学》1995年第1期38-43,共6页Mathematica Applicata

基　　金：陕西省教委自然科学研究资助项目

摘　　要：考虑变系数高阶中立型泛函微分方程 在—1<p(t)≤0情形下解的振动性与渐近性,取消了p_i(t)≥q_i>0的限制,改进以往的相应结果。本文结果对高阶泛函方程x^((n))(t)+p_i(t)x(t—τ_i(t))=0也是适用的。Consider the high order neutral differential functional equation n); and C are real numbers,m>1 and n>2 are positive integers. In this paper, author studies the oscillatory and asymtotic property of solutions of (1) with -1<p(t)<0,the restriction of pi(t)>qi>0 has been cancelled , improve the ruslts of paper [1]. It is suitable to high order functional equation

关 键 词：中立型 振动性 渐近性 泛函微分方程 

分 类 号：O175.7[理学—数学]