【摘要】 讨论二阶线性常微分方程y"+q(t)=0的振动性与非振动性,其中q∈C([0,+∞),[0,+∞))。作者得出,如果存在t0>0,当q(t)满足在任意有限区间[lnt0,ln+1t0]内的某些条件,其中n=1,2,……,l>1,则可判断方程解的振动性与非振动性更多还原

【Abstract】 We study the oscillatory and nonoscillatory properties of the solutions of the second order linear differential equation y″+q(t)y=0 , where q(t)>0 and q(t)∈C ([0,+∞), [0,+∞)) . If there exists t 0>0 such that for every n∈N, q(t) satisfies some conditions on every [l nt 0, l n+1 t 0] , where n=1,2,……, l>1 , then we can deduce the oscillation and nonoscillation of the equation.更多还原