一类泛函偏微分方程边值问题解的振动性及其应用

The Vibration and Its Application of Boundary Value Problem of Functional Partial Differential Equations

利用泛函微分不等式方法,讨论了一类中立型双曲泛函偏微分方程边值问题解的振动性,并建立了此类边值问题解的一个振动准则.作为应用给出了一个具体例子。

By using functional differential ineqllality, try to discuss the vibration of solution of bound- ary value problem for the neutral hyperbolic functional partial aifferential equatieon, and found a viration criterion for the boundary value problem. A example is given to illustrate the vibration criterion.