非线性中立型时滞微分方程的振动性

OSCILLATION OF NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

研究一类一阶非线性中立型时滞微分方程的振动性,运用反证法,并利用时滞微分不等式与时滞微分方程解的关系、广义特征不等式及交换积分次序等方法,建立了该类方程几个新的振动准则,并举例说明定理的应用.

Several new oscillation criteria for a class of first order nonlinear neutral delay differential equations are built by using the argument of contradiction combining with other methods such as the relationship between delay differential inequalities and delay differential equations,generalized eigen-inequalities and change of integration orders.The results obtained extend and improve some well-known results in the literatures.Some examples are also introduced to illustrate the application of the theorems.