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Estimates of solutions of impulsive parabolic equations under Neumann boundary condition
Gao, WL; Wang, JH
2003-07-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume283Issue:2Pages:478-490
AbstractIn 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.
KeywordNeumann boundary condition asymptotic behavior
DOI10.1016/S0022-247X(03)00275-0
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000184434600012
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:16[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18572
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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.
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