| 具有无限时滞的二阶微分方程解的存在性 |
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| 引用本文： | 孙兴旺,代新利.具有无限时滞的二阶微分方程解的存在性[J].数学季刊,2003,18(4):378-387. |
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| 作者姓名： | 孙兴旺 代新利 |
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| 作者单位： | 1.Qingdao Branch，Naval Aeronautical Engineering Academy，Qingdao 266041，China; 2.Department of Mathematics，Shandong Normal University，Jinan 250014，China |
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| 摘 要： | § 1. IntroductionRecently ,thedifferentialequationswithdeviatingargumentswereusuallydiscussed(see1 ],4],5 ]) .In 1 ],AGARWALRPandO’REGANDconsideredequationy″(t) =f(t,y(t) ,y(σ(t) ) ) , a.e .t∈ 0 ,1 ]y(t) =ψ(t) , t∈ -r ,0 ]y( 1 ) =a ,( )andtheydiscussedtheexistenceofatleastonesolutionforequation ( ) .Inthispaper ,weconsideramoregeneralequation-x″(t) =f(t ,xt) , t∈ 0 ,1 ]x(t) =ψ(t) , t∈ ( -∞ ,0 ]x( 0 ) =x( 1 ) =0 ,( 1 .1 )andsomeexistencetheor…
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| 关 键 词： | 存在性 微分方程 不动点理论 多重解 |
The Existence of Multiple Solutions for Second Order Differential Equations with Infinite Delay |
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| SUNXing-wang DAIXin-li.The Existence of Multiple Solutions for Second Order Differential Equations with Infinite Delay[J].Chinese Quarterly Journal of Mathematics,2003,18(4):378-387. |
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| Authors: | SUNXing-wang DAIXin-li |
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| Institution: | [1]QingdaoBranch,NavalAeronauticalEngineeringAcademy,Qingdao266041 [2]DepartmentofMathematics,ShandongNormalUniversity,Jinan250014,China |
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| Abstract: | This paper discusses the existence of multiple solutions for second order differential equations with infinite delay. |
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| Keywords: | differential euqations infinite delay Schauder fixed point theorem |
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