| Properties of exact solution of second-order differential equation with pantograph delay |
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| 作者姓名： | 李冬松 白红 刘明珠 |
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| 作者单位： | Dept. of mathematics，Harbin Institute of Technology，Harbin 150001，China |
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| 基金项目： | SponsoredbytheNationalNaturalScienceFundofChina (GrantNo .198710 19) . |
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| 摘 要： | 0 ＩＮＴＲＯＤＵＣＴＩＯＮＤｅｌａｙｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ (ＤＤＥｓ)ｐｒｏｖｉｄｅｄａｐｏｗｅｒｆｕｌｍｅａｎｓｏｆｍｏｄｅｌｉｎｇｍａｎｙｐｈｅｎｏｍｅｎａｉｎａｐ ｐｌｉｅｄｓｃｉｅｎｃｅｓ .Ｒｅｃｅｎｔｓｔｕｄｉｅｓｉｎａｓｄｉｖｅｒｓｅｆｉｅｌｄｓａｓｂｉ ｏｌｏｇｙ ,ｅｃｏｎｏｍｙ ,ｅｌｅｃｔｒｏｄｙｎａｍｉｃｓ (ｓｅｅ ,ｆｏｒｅｘａｍ ｐｌｅ1,2 ] )ｈａｖｅｓｈｏｗｎｔｈａｔＤＤＥｓｐｌａｙａｎｉｍｐｏｒｔａｎｔｒｏｌｅｉｎｅｘｐｌａｉｎｉｎｇｍａｎｙｄｉｆｆｅｒ…
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Properties of exact solution of second-order differential equation with pantograph delay |
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| LI Dong song,BAI Hong,LIU Ming zhu.Properties of exact solution of second-order differential equation with pantograph delay[J].Journal of Harbin Institute of Technology,2002,9(1). |
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| Authors: | LI Dong song BAI Hong LIU Ming zhu |
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| Abstract: | This paper is concerned with properties of exact solution of pantograph delay equation y′′(t)＝ay′(t)+by(t)+cy(qt), 0＜q＜1. Firstly, the existence and uniqueness of the exact solution of equations are proved, and then the condition is investigated which guarantee the exact solution is asymptotic stable. |
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| Keywords: | differential equation with pantograph delay asymptotic stability existence uniqueness |
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