一类二阶线性微分方程的振动性与非振动性  

Oscillation and Nonoscillation Criteria for Linear Second Order Differential Equation

作　　者：赵彦超[1] 

机构地区：[1]衡水师范专科学校数学系,河北衡水053000

出　　处：《衡水师专学报》2001年第1期35-36,共2页Journal of Hengshui Normal College

摘　　要：通过推广文献[1]的结论,得到了关于二阶微分方程y"+q(t)y=0的新的振动性与非振动性定理,其中对于固定的上可积.New oscillation and nonoscillation criteria are obtained for the second order linear differential equation y'+q (t) y=0 by extending the results of [1], where q(t)∈C[0,∞)and q(t)≥0. Conditions only about the integrals of q(t)on every interval [1nt0,1n+1t0](n=1,2…)for some fixed t0>0 are used in the results.

关 键 词：二阶线性微分方程 振动性 非振动性 

分 类 号：O175.1[理学—数学]