某类二阶非线性微分方程的振动性与非振动性  

Oscillations and Nonoscillations of Second Order Nonlinear Differential Equations

作　　者：李庆士[1] 张建国[1] 张宝玉 

机构地区：[1]太原工业大学数力系,山西030024

出　　处：《工程数学学报》1993年第4期61-72,共12页Chinese Journal of Engineering Mathematics

摘　　要：本文讨论二阶非线性微分方程(4)的振动性与非振动性,给出了方程(4)振动的一组充分性判据,及方程(4)有非振动解的充要条件。In this paper, we consider the osciallations and nonosciallations of second-order nonlinear differential equations (4), in which three new oscillation critcia are obtained, we also get sufficient and necessary conditions of nonoscillation for equation (4).

关 键 词：非线性 非振动解 微分方程 振动性 解 

分 类 号：O175.14[理学—数学]