一类带有多项延迟的非线性中立型延迟微分方程解析解的振动性分析  

Oscillation Analysis of Analytical Solutions for a Kind of Nonlinear Neutral Delay Differential Equations with Several Delays

作　　者：王慧灵 高建芳[1] Wang Huiling;Gao Jianfang(School of Mathematical Sciences,Harbin Normal University,Harbin 150025)

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025

出　　处：《数学物理学报（A辑）》2018年第4期740-749,共10页Acta Mathematica Scientia

基　　金：国家自然科学基金(11401145);黑龙江省自然科学基金(A201411;F2015012)~~

摘　　要：该文考虑一类带有常系数的非线性中立型延迟微分方程的振动性,得到了0<p<1时方程解析解振动的充分条件,以及p≥1方程解析解振动的充要条件.为了与其它现有结果进行比较,文中给出了两个算例进行验证所获理论成果的正确性.This paper is concerned with oscillation of a kind of nonlinear neutral delay differ-ential equations with constant coefficients.The sufficient conditions for oscillation in the caseof 0<p<1 and the sufficient and necessary conditions for oscillation in the case of p 2 1are obtained,respectively.To compare with other existing results,we give two experiments toverify our results.

关 键 词：振动 解析解 中立型延迟微分方程 

分 类 号：O241.81[理学—计算数学]