超前型二阶微分不等式解的振动性与渐近性

Oscillatory and asymptotic behavior of solution for second order nonlinear differential inequalities

研究了超前型二阶非线性扰动微分不等式x(t){(a(t)φ(x(t))x′(t))′+p(t)x(′t)+q(t)f(x(g(t)))}≤0在扰动系数函数p(t)为非正情况下解的振动性与渐近性,给出其解是振动或最终单调趋于零的一个充分条件。

A sufficient condition is given on the oscillatory and asymptotic behavior of solution of nonlinear second order differential inequalities with advanced argument of the type： when the damping coefficient is not positive.