期刊论文

Oscillation of Solutions to a Class of Neutral Time-delay Parabolic Partial Differential Equation Systems

中文

沈阳师范大学学报(自然科学版)

1673-5862

2009

27

3

272-276

10.3969/j.issn.1673-5862.2009.03.004

湖南省教育厅高等学校科学研究项目（06C189）.

本校为第一机构

研究中立型时滞含高阶Laplace算子抛物偏微分方程组解的振动性,利用一阶中立型时滞微分不等式得到该类方程组在Robin, Dirichlet边值条件下振动的若干充分判据.所得结果充分反映了时滞在振动中的影响.

Oscillatory properties of solutions to a class of neutral time-delay parabolic partial differential equation systems with high order Laplace operator were studied. Some criteria of sufficient conditions for the oscillation of all solutions of the systems were obtained under Robin and Dirichlet boundary conditions by using first-order time-delay differential inequalities. The results obtained reflected fully t...