泛函微分方程解的渐近性态

Asymptotic behavior of the solutions of the functional differential equations

研究下面一类高阶非线性泛函微分方程解的渐近性态[q(t)x(2n-1)(t)]′+p(t)f[x(σ(t))]=e(t).建立了方程解强迫振动的充分条件.这些结果扩展了文献[1]f(x)的范围.

Consider the asymptotic behavior of the solutions of nonlinear functional differential equation [q（t）x^（2n-1）（t）]＋p（t）f[x（σ-（f））]=e（t）Some conditions to ments of the range guarantee the solutions to be oscillatory are established. These results represent further improve of f（x） given by [1].