摘要：
研究了一类具非线性扩散系数和阻尼项的双曲型偏微分方程系统2ui（x,t）/t2+m（t）ui（x,t）/t=ai（t）hi（ui）Δui+sum from j=1 to n aij（t）hij（ui（x,t-τj（t）））Δui（x,t-τj（t））-sum from k=1 to m bik（x,t）uk（x,t-σ（t））（x,t）∈Ω×R+≡G,i=1,2,…m,获得了该方程组在Robin边值条件下解振动的充分条件。
作者机构：
[金建军] Department of Mathematics,Hengyang Normal University
关键词：
HILBERT型不等式;最佳常数;希尔伯特;等价形式;子类型;估计
摘要：
In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert's type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results.
期刊：
Journal of Mathematical Analysis and Applications,2008年340(2):932-942 ISSN：0022-247X
通讯作者：
Jin, Jianjun
作者机构：
[Jin, Jianjun; Jin, JJ] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Jin, Jianjun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
关键词：
Hilbert's type inequality;weight coefficient;best constant factor
摘要：
By introducing two pairs of conjugate exponents and estimating the weight coefficients, we give generalizations of some Hilbert's type inequalities with the best constant factor. As applications, some particular results are considered. (C) 2007 Elsevier Inc. All rights reserved.
作者机构：
Department of Mathematics,Hengyang Normal University,Hengyang 421008,China;[罗李平] 衡阳师范学院
关键词：
连续分布滞量;非线性;中立型偏微分方程解;振动性
摘要：
<正>In this paper,some sufficient conditions are obtained for the oscillation of solu- tions for a class of second order nonlinear neutral partial differential equations with contin- uous distribution delay under Robin and Dirichlet’s boundary value conditions.
