Oscillation of Solutions of Nonlinear Partial Differential Equations of Neutral Type

被引：0

作者：

Yu Yuanhong

Liu Bin

Liu Zhengrong Institute of Applied Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 1997年 / 04期

基金：

中国国家自然科学基金;

关键词：

Oscillation; Neutral type; Partial differential equation;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

In this paper. we deal with the oscillatory behavior of solutions of the neutral partialdifferential equation of the form /t[p(t)/t(u(x.t)+sun from i=1 to t pi(t)u(x,t-ti))]+q(x,t)u(x,t)+sun form j=1 to m qj(x,t)f(u(x,σ(t))) =a(t)△u(x,t)+sun form k=1 to n ak(t)△u(x,pk(t)), (x,t)∈Ω×R≡Gwhere △ is the Laplacian in Euclidean N-space R~N, R=(0, ∞) and Ω is a bounded domain in R~Nwith a piecewise smooth boundary Ω.

引用

页码：563 / 570

页数：8