具连续偏差变元的非线性中立双曲型偏泛函微分方程的振动性

Oscillation of Certain Nonlinear Neutral Hyperbolic Partial Functional Differential Equations with Continuous Distribution Arguments

研究了一类具连续偏差变元和扩散系数的非线性中立双曲型偏泛函微分方程的振动性,借助Green公式和微分不等式技巧,获得了这类方程分别在Robin、Dirichlet边值条件下所有解振动的若干新的充分性条件,表明其振动是由时滞量引起的.

In this article, the oscillation of a class of nonlinear neutral hyperbolic partial differential equations with continuous deviating arguments and nonlinear diffusion coefficient are studied. By employing the Gree ＇ s formula and the technique of differential inequalities, some new suffcient conditions for oscillaton of all solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The resuhs fully indicate that the oscillation is caused by delay.