摘 要:
研究了一类具有连续时滞的双曲型偏微分方程 ^2u(x,t)/ t^2+A(x,t)u(x,t)+∫a^b B(x,s,T)f(u,r1(t,T)))dm(T)=C(t)△u(x,t)+∫a^b D(t,T)△u(x,r2(t,T))dm(T)解的振动性,获得了该方程在Robin边值条件和Dircichlet边值条件下解振动的充分条件。[著者文摘]

文章出处:
《重庆师范大学学报:自然科学版》-2007年24卷1期 -11-14页
Journal of Chongqing Normal University:Natural Science Edition
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1672-6693(2007)01-0011-04
Oscillation of the Solutions of Hyperbolic Partial Differential Equation with Continuous Delay
GAO Zheng-hui, LUO Li-ping (Dept. of Mathematics, Hengyang Normal University, Hengyang Hunan, 421008)
Abstract:
This paper studies oscillation of the solutions of hyperbolic partial differential equation with continuous delay argument. Sufficient conditions for each solution to oscillation are obtained under Robin and Dircichlet boundary value conditions.[著者文摘]
Key words:
hyperbolic partial differential equation; continuous delay argument; oscillation
收稿日期: 2006-05-08
修订日期: 2006-09-27
基金资助:
湖南省自然科学基金项目(No.05JJ40008)

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