Estimates of solutions of impulsive parabolic equations under Neumann boundary condition

doi:10.1016/S0022-247X(03)00275-0

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	Estimates of solutions of impulsive parabolic equations under Neumann boundary condition
	Gao, WL; Wang, JH
	2003-07-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	283 期号:2 页码:478-490
摘要	In this paper, we prove the relation v (t) less than or equal to u (t, x) less than or equal to w (t), where u (t, x) is the solution of an impulsive parabolic equations under Neumann boundary condition partial derivativeu(t, x)/partial derivativenu = 0, and v(t) and w(t) are solutions of two impulsive ordinary equations. We also apply these estimates to investigate the asymptotic behavior of a model in the population dynamics, and it is shown that there exists a unique solution of the model which converges to the periodic solution of an impulsive ordinary equation asymptotically. (C) 2003 Elsevier Inc. All rights reserved.
关键词	Neumann boundary condition asymptotic behavior
DOI	10.1016/S0022-247X(03)00275-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000184434600012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18572
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, WL
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, WL,Wang, JH. Estimates of solutions of impulsive parabolic equations under Neumann boundary condition[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,283(2):478-490.
APA	Gao, WL,&Wang, JH.(2003).Estimates of solutions of impulsive parabolic equations under Neumann boundary condition.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,283(2),478-490.
MLA	Gao, WL,et al."Estimates of solutions of impulsive parabolic equations under Neumann boundary condition".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 283.2(2003):478-490.