一类非线性泛函微分方程的振动性准则

Oscillation Criteria for A Class of Nonlinear Functional Differential Equations

给出了带强迫项的二阶非线性微分方程x″(t)+p(t)f(x(t),x(τ(t)))g(x′(t))=e(t)振动的若干新的充分条件,改进并推广了孙元功(2003)的结果.

Some new sufficient conditions are given for the oscillation of the forced second-order nonlinear differential equations of the formx″（t）＋p（t）f（x（t）,x（τ（t）））g（x′（t））=e（t）.Our methodology is somewhat different from that of previous authors.Our results generalize and extend some earlier results of Sun Yuangong（2003）.