脉冲非线性中立抛物型分布参数系统的振动性分析

Oscillation analysis for impulsive nonlinear neutral parabolic distributed parameter systems

考虑一类带中立项的非线性脉冲抛物型分布参数系统的振动性问题,利用处理中立项的技巧和一阶脉冲时滞微分不等式的某些结果,建立了这类系统在Dirichlet边值条件下所有解振动的若干新的充分性判别条件.所得结论充分反映了脉冲扰动和时滞效应在系统振动中的影响作用.

The oscillation problems for a class of impulsive nonlinear parabolic distributed parameter systems with neutral term are considered. By using a technique of treating neutral term and some results of first order impulsive delay differential inequalities, some new sufficient differentiation conditions are established for the oscillation of all solutions of such systems under Dirichlet boundary value condition. The conclusions fully reflect the influence action of impulse perturbation and delay effect in the system oscillation.