非线性时滞双曲型偏微分方程解的振动性质

Oscillatory Properties of Solutions for Nonlinear Delay Hyperbolic Partial Differential Equations

讨论一类多滞量非线性双曲型偏泛函微分方程解的振动性,利用微分不等式方法和Riccati变换,获得了该类方程在两类不同边值条件下振动的新的充分条件,通过实例对所得结果加以阐明.

Oscillatory properties of solutions of a class of nonlinear hyperbolic partial functional differential equations with multi-delays are studied and some new sufficient conditions for the oscillation of all solutions of the equations are obtained under two boundary value conditions by using the method of differential inequalities and Riccati transformation. Some examples are given to illustrate the results.