非线性中立双曲型偏微分方程的振动准则

Oscillation criteria of nonlinear neutral hyperbolic partial differential equations

考虑一类非线性中立双曲型时滞偏泛函微分方程的振动性,利用Green定理和广义Riccati变换获得了这类方程在两类不同边值条件下所有解振动的若干充分判据.所得结论充分表明振动是由时滞量引起的,同时也揭示了其与普通双曲型偏微分方程质的差异.

The oscillation of a class of nonlinear neutral delay hyperbolic partial functional differential equations are considered. By using Green theorem and the generalized Riccati transformation, some sufficient criteria for oscillation of all solutions of such equations are obtained under two different boundary value conditions. The results fully indicate that the oscillation are caused by delay and also reveal the difference between the equations and ordinary hyperbolic partial differential eouations without delay.