一类带偏差参数的抛物方程的强迫振动

Conditions for Forced Oscillation of a Class of Parabolic Equations with Deviating Arguments

讨论了一类带连续偏差参数的非线性抛物方程，得到了两个关于满足一类边值条件的方程解的振动条件，其中一个与一类特殊的微分不等式的性质有关，另一个则与一积分的极限相联系。

In order to establish conditions for forced oscillations with continuous deviating arguments, a special kind of nonlinear parabolic equation with a specific boundary value condition is investigated here in this paper. And two different types of oscillatory criteria are found. One concerns with the property of a typical sort of differential inequality and the with a specical kind of limitations of the infimum and the supremum of an integral, both of whitch are under the same prerequisite. The results generalize and improve some of the existing results about forced oscillation.