双曲型时滞偏微分方程解振动的充要条件

Necessary and Sufficient Condition for Oscillations of Delay Hyperbolic Partial Differential Equations

讨论了一类多滞量双曲型时滞偏微分方程解的振动性质,获得了其一切解振动的充要条件;所得充要条件将时滞偏微分方程解的振动判别问题转化为时滞微分方程解的振动判别问题;揭示了与普通双曲型偏微分方程解的质的差异。

Oscillatory properties of solutions of certain delay hyperbolic partial differential equations are invstigated, a series of necessary and sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay. The results reveal the relation between the equations and ordinary differential equations with delay.