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

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.