二阶非线性微分方程的振动性定理

OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

本文给出二阶非线性微分方程(a(t)Ψ(x(t))x′(t))′+p(t)Ψ(x(t))x′(t)+q(t)f(x(t))=0的一些振动性判别准则,这些判别准则改进或推广了燕居让和Grace & Lalli的某些结果。

In this paper, We presented some criteria for the oscillation of second order nonlinear differential equations of the term (a(t)ψ(x(t))x'(t))'+p(t)ψ(x(t))x' (t)+q(t)f(x(t))=0 thus, we extended or improved some of the results by Jurang、Grace and Lalli.