期刊论文

Oscillation for Solutions of Systems of Quasilinear Parabolic Partial Differential Equations

中文

广西科学

1005-9164

2005

12

4

265-267

10.3969/j.issn.1005-9164.2005.04.008

本校为第一机构

利用Green定理和微分不等式,研究一类拟线性抛物型偏微分方程组: ((e)ui(x,t))/((e)t)=ai(t)Δui(x,t)+∑sk=1aik(t)Δui(x,ρk(t))-pi(x,t)ui(x,t)-∑mj=1fij[t,x,uj(x,σ(t))],i=1,2,...,m解的振动性,获得该类方程组在两类不同边值条件:((e)ui(x,t))/((e)N)+gi(x,t)ui(x,t)=0,(x,t)∈(e)Ω×R+,i=1,2,...,m和ui(x,t)=0,(x,t)∈(e)Ω×R+,i=1,2,...,m所有解振动的若干充分条件: limt→∞ inf∫tσ(t)q(s)exp∫sσ(s)p(r)drds>(1)/(e).

The oscillation of solutions of the systems of a class of quasilinear parabolic partial differential equations ：（（e）ui（x,t））/（（e）t）=ai（t）Δui（x,t）＋∑^sk=1aik（t）Δui（x,ρk（t））-pi（x,t）ui（x,t）-∑^mj=1fij[t,x,uj（x,σ（t））],i=1,2,…,m is studied by Green＇s theorem and differential inequalities.The sufficient conditions：limt→∞ inf∫^tσ（t）q（s）exp∫^sσ（s）p（r）drds〉（1）/（e）.for the oscillation of all solutions of the systems are obtained under two kinds of different boundary conditions：（（e）ui（x,t））/（...