| 二阶Volterra—Hammerstein型非线性积分微分方程的周期边值问题及其应用 |
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| 引用本文： | 金丽.二阶Volterra—Hammerstein型非线性积分微分方程的周期边值问题及其应用[J].大连铁道学院学报,2002,23(3):5-7. |
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| 作者姓名： | 金丽 |
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| 作者单位： | 大连铁道学院文理分院，辽宁大连116028 |
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| 摘 要： | 研究了二阶Volterra-Hammerstein型非线性积分微分方程的周期边值问题：u＂=f(t,T,u,u,u＇),u(0)=u(1),u＇(0)=u＇(1),得到了解的存在性，并将所得结果应用于三阶，四阶边值问题。
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| 关 键 词： | Volterra－Hammerstein型 周期边值问题 应用 上下解 存在性 二阶非线性积分微分方程 |
Second Order Periodic Boundary Value Problems of Volterra-Hammerstein Integrodifferential Type Equation and Its Application |
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| JIN Li.Second Order Periodic Boundary Value Problems of Volterra-Hammerstein Integrodifferential Type Equation and Its Application[J].Journal of Dalian Railway Institute,2002,23(3):5-7. |
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| Authors: | JIN Li |
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| Abstract: | This paper gives the existence of solutions for periodic boundary value problems of the form un =f(t, u,u',T1u,T2u), u(0) = u(1), u'(0) = u'(1) by means of the upper and lower solution method, and applies the results to third (fourth) order boundary value problems. |
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| Keywords: | boundary value problems upper and lower solutions existence |
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