Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays

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• 作者：Wei Nian Li ; Maoan Han and Fan Wei Meng
• 关键词：Oscillation ; Impulsive ; Parabolic differential equation ; Delay
• 刊名：Applied Mathematics Letters
• 出版年：2005
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：2005
• 卷：18
• 期：10
• 页码：1149-1155
• 文件大小：161 K

摘要

In this paper, we study a class of impulsive parabolic differential equations with several delays of the form

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(*)

yle="margin-left: 25 !important; width: 600px !important"> with the boundary condition

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(**)

yle="margin-left: 25 !important; width: 600px !important"> We firstly obtain that every solution of the problem (*) and (**) oscillates in yle="text-decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TY9-4FY3P17-2&_mathId=mml3&_user=10&_cdi=5613&_rdoc=13&_handle=V-WA-A-W-AE-MsSAYWA-UUW-U-AABZWYYAZY-AABBYZYEZY-CADCWWEUC-AE-U&_acct=C000050221&_version=1&_userid=10&md5=c0dd07d44e8cbce07a8180dd85dd5654" title="Click to view the MathML source">G if and only if every solution of the delay differential equation

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(***)

yle="margin-left: 25 !important; width: 600px !important"> oscillates. Based on this conclusion, some necessary and sufficient conditions for oscillation of problem (*) and (**) are established.