摘要
本文研究一类非线性含时滞抛物型方程解的振动问题。
Sufficient conditions are obtained for the oscillation of all solutions of the homogeneous Neumann, Dirichlet and Robin′s boundary value problems associated with the nonlinear parabolic equation. u t=a(t)h(u)Δu+∑mi=1a i(t)h i(u(t-τ i(t),x))Δu(t-τ i(t),x)-b 0(t,x)u(t,x)-∑nj=1b j(t,x)f j(u(t-σ j(t),x))-φ(x,t,u,u x) for (t,x)∈R +×Ω, where ΩR N.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1997年第3期36-39,共4页
Journal of Sichuan Normal University(Natural Science)