Estimates of solutions of impulsive parabolic equations under Neumann boundary condition
文献类型:期刊论文
作者 | Gao, WL; Wang, JH |
刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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出版日期 | 2003-07-15 |
卷号 | 283期号:2页码:478-490 |
关键词 | Neumann boundary condition asymptotic behavior |
ISSN号 | 0022-247X |
DOI | 10.1016/S0022-247X(03)00275-0 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000184434600012 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18571] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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