[1]罗李平,杨柳,王艳群,等.一类拟线性脉冲时滞抛物方程组的强迫振动性[J].南京师范大学学报(自然科学版),2009,32(04):7-11.
 Luo Liping,Yang Liu,Wang Yanqun.Forced Oscillation for Systems of a Class of Quasilinear Impulsive Delay Parabolic Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(04):7-11.
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一类拟线性脉冲时滞抛物方程组的强迫振动性()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年04期
页码:
7-11
栏目:
数学
出版日期:
2009-12-30

文章信息/Info

Title:
Forced Oscillation for Systems of a Class of Quasilinear Impulsive Delay Parabolic Equations
作者:
罗李平;杨柳;王艳群;
衡阳师范学院数学与计算科学系, 湖南衡阳421008
Author(s):
Luo LipingYang LiuWang Yanqun
Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China
关键词:
拟线性 脉冲 时滞抛物型偏微分方程组 振动性 强振动性
Keywords:
quas ilinear impu lse system s o f de lay parabo lic equa tions osc illation strong o sc illation
分类号:
O175.26
摘要:
考虑一类拟线性脉冲时滞抛物型偏微分方程组的振动性和强振动性,直接利用振动的定义、G reen公式和Newm ann边值条件将这类具强迫项的脉冲时滞抛物型方程组的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用最终正解的定义和脉冲时滞微分不等式,获得了该类方程组所有解振动和强振动的若干充分条件.所得结果充分反映了脉冲和时滞在振动中的影响作用.
Abstract:
The oscillation and strong osc illa tion o f the system s of a c lass o f quasilinear impu lsive de lay parabo lic pa rtia l differential equations is cons idered. By using the osc illa to ry defin ition, G reen’s form ula and Newm ann boundary cond-i tion directly, the osc illa to ry problem o f so lution to the sy stem s of impulsive de lay parabolic equations w ith the forc ing te rm is reduced to the problem o fw hich im pu ls ive delay differential inequality hasn’t even tua lly pos ition so lution, and thereby som e su ffic ient conditions are obta ined for the oscillation and strong oscillation o f a ll so lutions of such system s v ia the de finition o f eventua lly position so lu tion and impulsive delay d iffe rentia l inequa lity. The obta ined resu lts fu lly reflect the influence action o f impu lsive and delay in osc illation.

参考文献/References:

[ 1] 罗李平, 欧阳自根. 脉冲中立型时滞抛物偏微分方程组的振动准则[ J] . 应用数学学报, 2007, 30( 5): 822-830.
[ 2] 罗李平, 欧阳自根. 一类非线性脉冲中立型时滞抛物方程组的振动准则[ J]. 工程数学学报, 2007, 24( 4) : 639-644.
[ 3] 罗李平, 欧阳自根. 非线性脉冲中立型时滞抛物方程组解的振动性[ J] . 生物数学学报, 2007, 22( 3): 496-502.
[ 4] Luo Lip ing, Ouyang Zigen. Oscillation theorem to system s of impulsiv e neutra l de lay parabo lic partia l differentia l equations[ J]. Ann o f D iff Eqs, 2007, 23( 3) : 297-303.
[ 5] Luo L ip ing. O sc illation theo rem of system s o f quasilinear im pu lsive de lay hype rbo lic equations[ J]. NortheastM a th J, 2007, 23( 3): 255-262.
[ 6] Luo L ip ing, Peng Ba iyu, Yang L iu. Oscillation of system s o f impulsiv e de lay parabo lic equations about boundary value problems[ J]. Ann o f D iff Eqs, 2007, 23( 4): 470-476.
[ 7] 罗李平, 欧阳自根. 非线性脉冲时滞双曲型方程组的振动准则[ J] . 南京师大学报: 自然科学版, 2006, 29( 4): 27-31.
[ 8] 罗李平. 非线性脉冲时滞抛物型偏微分方程的强迫振动性[ J]. 应用数学, 2007, 20( 2): 357-360.
[ 9] 罗李平, 欧阳自根. 非线性脉冲中立型时滞抛物偏微分方程的振动性[ J]. 吉林大学学报: 理学版, 2007, 45( 1): 23-28.
[ 10] 罗李平, 谭琼华, 欧阳自根. 一类非线性脉冲时滞抛物型方程的强迫振动性[ J]. 武汉理工大学学报, 2006, 28( 8):138-142.
[ 11] Zhang Y T, LuoQ. On the forced osc illation o f so lutions fo r system s o f impu lsive neutra l pa rabo lic d iffe rentia l equations w ith seve ra l de lays[ J]. J ofM a th ( PRC ), 2006, 26( 3): 272-276.
[ 12] Ba inov D D, Lakshm ikantham V, S im eonov P S. Theory of Im pu lsive D ifferentia lEquations[M ]. S ingapore: W orld Scientific,1989.

备注/Memo

备注/Memo:
基金项目: 湖南省教育厅科研资助项目( 07C164)、湖南省自然科学基金( 06JJ5001)资助项目.
通讯联系人: 罗李平, 教授, 研究方向: 偏泛函微分方程振动理论. E-m ail:luo8486659@ 163. com
更新日期/Last Update: 2013-04-23