一类二阶微分方程解的振荡性,有界性和单调性

摘要

本文阐述了以下二阶拟线性微分方程的解的振荡性,有界性和单调性的一些新结果.(p(t)(y′(t))α)′=q(t)yβ(t)+r(t),t≥t0其中,t0是非负实数,当t≥t0时,p(t)是连续的正实函数,r(t)是连续的实函数,q(t)是非负的连续的实函数且q(t) 0,α和β都是正奇整数的商数.%Some new results are obtained for the oscillatory, bounded and monotone properties of solutions of second - orderquasilinear differential equations:(p(t)(y′(t))α')′ = q(t)yβ(t) + r(t), t≥t0,where, to is a nonnegative real number, p(t) is a postive real continuous function for t≥t0 ,r(t) is a real continuous functionfor t ≥ t0, q(t) is a nonnegative real continuous function for t≥t0 with q(t) 0 and α and β are quotients of odd positive integers.