摘要
本文考虑一类时滞非线性抛物型偏微分方程其中Ω是R^n中具有分片光滑边界的有界区域,系数λ_i,a,a_i,q是某些非负光滑函数,f满足一较广泛的条件,方程中的积分是在Stieltjes意义下的.在不同边界条件下得到了方程的解的振动性判据.
In this paper author considers a class of nonlinear parabolicpartial differential delay equations of the form ■where,Ω is a bounded domain with a spiecewise smooth boundary inR^n,the coefficients λ,a,a_i,q are some nonnegative smooth functions,fsatisfies a wider condition,and the integral, in(1)is in Stieltjes'sense.Oscillation criteria are obtained for the solutions of(1)satifyingdifferent boundary conditions,respectively.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1993年第1期69-74,共6页
Natural Science Journal of Xiangtan University
关键词
抛物型
偏微分方程
时滞
振动
parabolic partial differential equations
delay
oscillation
