时滞抛物型与双曲型微分方程解的振动性的讨论

On Oscillation of the Parabolic and Hyperbolic Delay Differential Equations

对一类线性以及非线性抛物型时滞微分方程的解在第一或第二边值条件下解振动的充分必要条件进行了讨论,给出了解振动的一些结论.并且对一类线性以及带强迫项的非线性双曲型时滞微分方程的解在第一或第二边值条件下解振动的充分必要条件进行了讨论,也给出了一些结论.

We consider the systems of parabolic delay differential equation or the systems of hyperbolic delay differential equation. We deal with a sufficient and necessary condition of the oscillatory of their solutions at a class of boundary value problems; we also investigate oscillatory properties of the linear hyperbolic differential equation or nonlinear hyperbolic differential equation with forced term at the first or second class of boundary value problems and establish a series of criteria. The results fully indicate that the oscillations are caused by delay.